Sorin Popa

Q: What Schools Are Affiliated With Sorin Popa

Sorin Popa is affiliated with the following schools: University of Western Ontario, University of California, Berkeley, University of California, San Diego, University of California, Los Angeles, University of Geneva, University of Bucharest

Sorin Popa's AcademicInfluence.com Rankings

Sorin Popa

Mathematics

#2206

World Rank

#3443

Historical Rank

#880

USA Rank

Measure Theory

#1550

World Rank

#1924

Historical Rank

#516

USA Rank

mathematics Degrees

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Mathematics

Sorin Popa's Degrees

PhD Mathematics University of California, Berkeley

Why Is Sorin Popa Influential?

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According to Wikipedia, Sorin Teodor Popa is a Romanian American mathematician working on operator algebras. He is a professor at the University of California, Los Angeles. Biography Popa earned his PhD from the University of Bucharest in 1983 under the supervision of Dan-Virgil Voiculescu, with thesis -algebrelor. He has advised 15 doctoral students at UCLA, including Adrian Ioana.

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Sorin Popa's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Entropy and index for subfactors (1986) (590)
On a class of type $II_1$ factors with Betti numbers invariants (2002) (402)
Strong rigidity of II1 factors arising from malleable actions of w-rigid groups, I (2003) (307)
Classification of amenable subfactors of type II (1994) (303)
An axiomatization of the lattice of higher relative commutants of a subfactor (1995) (218)
Amalgamated free products of weakly rigid factors and calculation of their symmetry groups (2005) (208)
On the superrigidity of malleable actions with spectral gap (2006) (208)
On a class of II1 factors with at most one Cartan subalgebra, II (2007) (203)
Classification of subfactors: the reduction to commuting squares (1990) (198)
Cocycle and orbit equivalence superrigidity for malleable actions of w-rigid groups (2005) (187)
Classification of subfactors and their endomorphisms (1995) (180)
A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras (1996) (171)
Maximal injective subalgebras in factors associated with free groups (1983) (151)
On a problem of R.V. Kadison on maximal abelian *-subalgebras in factors (1981) (151)
Unique Cartan decomposition for II1 factors arising from arbitrary actions of free groups (2011) (149)
Markov traces on universal Jones algebras and subfactors of finite index (1993) (144)
Unique Cartan decomposition for II_1 factors arising from arbitrary actions of hyperbolic groups (2012) (125)
On a class of $\mathrm{II}_1$ factors with at most one Cartan subalgebra (2007) (114)
Strong rigidity of II1 factors arising from malleable actions of w-rigid groups, II (2003) (105)
Some prime factorization results for type II1 factors (2003) (104)
Some rigidity results for non-commutative Bernoulli shifts☆ (2006) (98)
Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups (2006) (95)
Group measure space decomposition of II1 factors and W*-superrigidity (2009) (91)
SOME COMPUTATIONS OF 1-COHOMOLOGY GROUPS AND CONSTRUCTION OF NON-ORBIT-EQUIVALENT ACTIONS (2004) (90)
A CLASS OF SUPERRIGID GROUP VON NEUMANN ALGEBRAS (2010) (88)
On Ozawa's Property for Free Group Factors (2006) (85)
Deformation and rigidity for group actions and von Neumann algebras (2006) (85)
Iterating the basic construction (1988) (82)
Symmetric enveloping algebras, amenability and AFD properties for subfactors (1994) (73)
On co-amenability for groups and von Neumann algebras (2003) (68)
An uncountable family of nonorbit equivalent actions of _ (2005) (64)
Singular maximal abelian ∗-subalgebras in continuous von Neumann algebras (1983) (55)
Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property $T$ (1999) (54)
On local finite dimensional approximation of C∗-algebras (1997) (54)
On some decomposition properties for factors of type $\mathrm{II}_1$ (1998) (53)
Universal properties ofL(F∞) in subfactor theory (2003) (52)
Existence of continuous families of complex hadamard matrices of certain prime dimensions and related results (1997) (50)
Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors. (1985) (47)
A class of groups for which every action is W$^*$-superrigid (2010) (44)
Actions of _{∞} whose II₁ factors and orbit equivalence relations have prescribed fundamental group (2008) (42)
The commutant modulo the set of compact operators of a von Neumann algebra (1987) (42)
Universal construction of subfactors (2002) (41)
On the cohomology of Bernoulli actions (2006) (38)
Representation Theory for Subfactors, $${\lambda}$$λ-Lattices and C*-Tensor Categories (2014) (37)
On the fundamental group of II_1 factors and equivalence relations arising from group actions (2008) (36)
Cohomology and $L^2$-Betti numbers for subfactors and quasi-regular inclusions (2015) (35)
Semiregular maximal abelian *-subalgebras and the solution to the factor state Stone-Weierstrass problem (1984) (35)
Cocycle and orbit superrigidity for lattices in SL(n,R) acting on homogeneous spaces (2008) (34)
On the Russo-Dye theorem. (1981) (33)
The relative Dixmier property for inclusions of von Neumann algebras of finite index (1999) (32)
Independence properties in subalgebras of ultraproduct II$_1$ factors (2013) (32)
Finite dimensional approximation of pairs of algebras and obstructions for the index (1991) (31)
Representation Theory for Subfactors, λ -Lattices and C ∗ -Tensor Categories (2015) (31)
Actions of compact Lie groups on von Neumann algebras (1992) (28)
On II1 factors arising from 2-cocycles of w-rigid groups (2004) (27)
On the Notion of Relative Property (T) for Inclusions of Von Neumann Algebras (2004) (26)
On the fundamental group of type II1 factors. (2002) (26)
CONTINUOUS FAMILIES OF HYPERFINITE SUBFACTORS WITH THE SAME STANDARD INVARIANT (2006) (25)
Some Properties of Masa’s in Factors (1982) (25)
Relative dimension, towers of projections and commuting squares of subfactors. (1989) (24)
On the Relative Dixmier Property for Inclusions of C*-Algebras☆ (2000) (24)
An Uncountable Family of Non Orbit Equivalent Actions of $\Bbb F_n$ (2003) (23)
A II1 Factor Approach to the Kadison–Singer Problem (2013) (22)
Perturbations of subalgebras of type II1 factors (2004) (21)
The topological structure of the unitary and automorphism groups of a factor (1993) (21)
On the classification of inductive limits of II$_1$ factors with spectral gap (2009) (20)
Derivations of von Neumann algebras into the compact ideal space of a semifinite algebra (1988) (18)
Quanta of Maths (2011) (17)
Free-independent sequences in type II1 factors and related problems (2019) (16)
Free-independent sequences in type II1 factors and related problems (2019) (16)
Free-independent sequences in type II1 factors and related problems (2019) (16)
Examples of Subfactors with Property T Standard Invariant (1998) (15)
SMOOTH BIMODULES AND COHOMOLOGY OF II1 FACTORS (2014) (15)
Some OE- and W⁎-rigidity results for actions by wreath product groups (2011) (13)
Circumstellar disc geometry constrained by infrared line fluxes (2009) (12)
Cocycle and Orbit Equivalence Superrigidity for Bernoulli Actions of Kazhdan Groups (2005) (12)
CARTAN SUBALGEBRAS AND BIMODULE DECOMPOSITIONS OF II1 FACTORS (2000) (12)
On the classification of actions of amenable groups on subfactors (1992) (12)
Constructing MASAs with prescribed properties (2016) (12)
CLASSIFICATION OF ACTIONS OF DISCRETE AMENABLE GROUPS ON AMENABLE SUBFACTORS OF TYPE II (2010) (12)
Approximate equivalence of group actions (2017) (11)
AMENABILITY IN THE THEORY OF SUBFACTORS (1997) (10)
On the Cohomology of Actions of Groups by Bernoulli Shifts (2003) (10)
AMENABILITY IN THE THEORY OF SUBFACTORS (1997) (10)
CLASSIFICATION OF SUBFACTORS OF FINITE DEPTH OF THE HYPERFINITE TYPE III1 FACTOR (1994) (10)
Hyperfinite subalgebras normalized by a given automorphism and related problems (1985) (9)
THE DYNAMIC ISOLATION PERFORMANCES ANALYSIS OF THE VIBRATING EQUIPMENT WITH ELASTIC LINKS TO A FIXED BASE (2018) (9)
Master/slave algorithm for contact between deformable bodies and axial symmetries — application to 3D metal forging (2003) (9)
ON SPECTRAL GAP RIGIDITY AND CONNES INVARIANT χ ( M ) (2009) (9)
On the vanishing cohomology problem for cocycle actions of groups on II_1 factors (2018) (9)
0 Ju n 20 03 AN UNCOUNTABLE FAMILY OF NON ORBIT EQUIVALENT ACTIONS OF F n (2008) (8)
THE ASSESSMENT OF THE DYNAMIC RESPONSE TO SEISMIC EXCITATION FOR CONSTRUCTIONS EQUIPPED WITH BASE ISOLATION SYSTEMS ACCORDING TO THE NEWTON-VOIGT-KELVIN MODEL (2018) (8)
On spectral gap rigidity and Connes invariant $\chi(M)$ (2009) (8)
Cartan subalgebras and bimodule decompositions of $ \mathrm{II}_1 $ factors (2003) (8)
On Ergodic Embeddings of Factors (2019) (7)
AN UNCOUNTABLE FAMILY OF NON ORBIT EQUIVALENT ACTIONS OF F n Damien Gaboriau (2005) (7)
Asymptotic Orthogonalization of Subalgebras in II$_1$ Factors (2017) (7)
Murine Heart Volume: Numerical Comparison and Calibration of Conductance Catheter Models (2014) (7)
Some ergodic properties for infinite graphs associated with subfactors (1995) (7)
A unique decomposition result for HT factors with torsion free core (2004) (6)
Representing interpolated free group factors as group factors (2018) (6)
Strong Rigidity of II$_1$ Factors Coming from Malleable Actions of Weakly Rigid Groups, I (2003) (5)
Coarse decomposition of II$_1$ factors. (2018) (5)
Tight decomposition of factors and the single generation problem (2019) (5)
Paving over arbitrary MASAs in von Neumann algebras (2014) (5)
THE DYNAMIC ANALYSE OF A CONSTRUCTION WITH THE BASE INSULATION CONSISTING IN ANTI-SEISMIC DEVICES MODELLED AS A HOOKE-VOIGT-KELVIN LINEAR RHEOLOGICAL SYSTEM (2018) (5)
Classification of regular subalgebras of the hyperfinite II1 factor (2018) (4)
On Connes' joint distribution trick and a notion of amenability for positive maps (1998) (4)
Approximate equivalence of actions (2015) (4)
On Commutators in Properly Infinite W*-Algebras (1982) (4)
Singular MASAs in type III factors and Connes' Bicentralizer Property (2017) (4)
Coarse decomposition of II1 factors (2021) (4)
A Quasi‐Symmetric Contact Formulation For 3D Problems. Application To Prediction Of Tool Deformation In Forging (2004) (4)
Some remarks on irrational rotation $HT$ factors (2004) (3)
Von Neumann Algebras and Ergodic Theory of Group Actions (2008) (3)
Helical Gear Forging Simulation using Recurrent Boundary Conditions (2006) (3)
Vanishing of the First Continuous L2-Cohomology for II1 Factors (2014) (3)
Operator Algebras and Applications: On amenability in type II1 factors (1989) (3)
Regarding the Influence of the Plate Heat Exchanger Configuration on Its Performance (2010) (3)
W∗-Rigidity Paradigms for Embeddings of II1 Factors (2022) (2)
Quasi-symmetrical contact algorithm and recurrent boundary conditions: application to 3d metal forging simulations (2005) (2)
A II1 Factor Approach to the Kadison–Singer Problem (2014) (2)
REMARKS ON IDEALS OF THE CALKIN-ALGEBRA FOR CERTAIN SINGULAR ,EXTENSIONS (1981) (2)
O A ] 2 M ar 2 02 1 W ∗-rigidity paradigms for embeddings of II 1 factors by (2021) (2)
On the optimal paving over MASAs in von Neumann algebras (2015) (2)
Calculation of 1-cohomology Groups and Construction of Non Orbit Equivalent Actions (2004) (2)
Memories of Vaughan Jones (2021) (1)
Perturbations of Subalgebras of Type ${\rm {II}}_1$ Factors (2003) (1)
Distal Re-Entry to Treat Lower Limb Chronic Total Occlusions Using a Novel Electrically Guided Re-Entry Catheter (2021) (1)
W$$^*$$-Rigidity Paradigms for Embeddings of $$\hbox {II}_1$$ Factors (2021) (1)
Research on the Growth Sustainability Active Organs of Agricultural Machinery (2015) (1)
Construction of MASAs almost orthogonal to a given subalgebra (2018) (0)
Remembrances of Edward G. Effros (2020) (0)
Research on the Main Parameters of the Turbo-Blower Axes TiN Covering Process (2014) (0)
More on central freeness: the type IIIᵢ case (1995) (0)
On the fundamental groups of II$_1$ factors and equivalence relations (2008) (0)
ON ERGODIC THEORY OF GROUP ACTIONS ( (2011) (0)
In memory of prof. dr. Simion Gocan THE OCCURRENCE AND SOURCE EVALUATION OF POLYCYCLIC AROMATIC HYDROCARBONS IN URBAN ATMOSPHERE USING MOSS AS BIOMONITOR AND GC-MS ANALYSIS (2017) (0)
O A ] 8 J un 2 01 5 Representation theory for subfactors , λ-lattices and C ∗-tensor categories by (2021) (0)
O A ] 2 0 Ju n 20 22 W ∗-rigidity paradigms for embeddings of II 1 factors by (2022) (0)
Researches Concerning the Improving of the Cutting Inserts Durability Using Titanium Deposition (2014) (0)
Some Researches Regarding the Durability of the Metal Carbide Cutting Inserts Coated with Ti Thin Layers (2014) (0)
W*-representations of subfactors and restrictions on the Jones index (2021) (0)
Quasi-symmetrical formulations for contact and friction between deformable bodies: application to 3D forging (2005) (0)
Maximal amenable MASAs of radial type in the free group factors (2023) (0)
O A ] 2 3 A ug 2 01 6 APPROXIMATE EQUIVALENCE OF GROUP ACTIONS (2016) (0)
The main classification result (1995) (0)
Central freeness for subfactors (1995) (0)
O A ] 4 N ov 2 02 2 ON THE PAVING SIZE OF A SUBFACTOR in memory of Vaughan Jones and (2022) (0)
CONSTRUCTING MASA S WITH PRESCRIBED PROPERTIES (2017) (0)
Corrigendum to “Perturbations of subalgebras of type II1 factors” [J. Funct. Anal. 213 (2004) 346–379] (2006) (0)
Research about correlation between the performance of plate heat exchanger and the number of plates (2010) (0)
Popa Receives Ostrowski Prize (2010) (0)
Quanta of Maths : Proceedings, Conference on Noncommutative geometry in honor of Alain Connes, Paris, France, Mar 29 - Apr 6, 2007 (2010) (0)
O A ] 4 N ov 2 01 9 TIGHT DECOMPOSITION OF FACTORS AND THE SINGLE GENERATION PROBLEM Dedicated to Dan Voiculescu on his 70 th birthday (2019) (0)
Title Spectral Gap Rigidity and Unique Prime Decomposition Permalink (2012) (0)
Some classes of smooth bimodules over II$_1$ factors and their associated 1-cohomology spaces (2023) (0)
ON THE CLASSIFICATION OF II₁ FACTORS ARISING FROM FREE GROUPS AND THEIR ACTIONS ON SPACES (2013) (0)
Sir Vaughan F.R. Jones (1952–2020) (2020) (0)
Cocycle Superrigidity for Malleable Actions with Spectral Gap (2006) (0)
Analysis of Cutting Parameters Influence on the Machined Surface Roughness Obtained by Turning of a Heat Treated Bearing Steel (2015) (0)
Title Cohomology and L-2-Betti Numbers for Subfactors and QuasiRegular Inclusions Permalink (2015) (0)
Assessment of Performance for Elastomeric Bearings Used on Bridges and Viaducts (2017) (0)
Approximate innerness for subfactors (1995) (0)
O A ] 2 3 N ov 2 01 5 Cohomology and L 2-Betti numbers for subfactors and quasiregular inclusions (2015) (0)

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What Schools Are Affiliated With Sorin Popa?

Sorin Popa is affiliated with the following schools:

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