George A. Elliott

George A. Elliott's AcademicInfluence.com Rankings

George A. Elliott

Mathematics

#7366

World Rank

#10030

Historical Rank

Algebraic Topology

#30

World Rank

#38

Historical Rank

Measure Theory

#2094

World Rank

#2535

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is George A. Elliott Influential?

(Suggest an Edit or Addition)

(See a Problem?)

George A. Elliott'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

K-theory (1999) (993)
On the classification of inductive limits of sequences of semisimple finite-dimensional algebras (1976) (549)
On the classification of C*-algebras of real rank zero. (1993) (447)
On the classification of C*-algebras of real rank zero, V (1996) (199)
The structure of the irrational rotation C*-algebra (1993) (192)
The Cuntz semigroup as an invariant for C*-algebras (2007) (182)
Regularity properties in the classification program for separable amenable C*-algebras (2007) (180)
On the classification of simple amenable C*-algebras with finite decomposition rank (2015) (157)
On the classification of simple inductive limit C*-algebras, II: The isomorphism theorem (2007) (155)
Gauss polynomials and the rotation algebra (1990) (148)
The Classification Problem for Amenable C*-Algebras (1995) (124)
The cone of lower semicontinuous traces on a C*-algebra (2008) (123)
A Classification of Certain Simple C*-Algebras (1993) (101)
An abstract Voiculescu–Brown–Douglas–Fillmore absorption theorem (2001) (86)
Amenable actions of groups (1994) (79)
Derivations of Matroid C ∗ -Algebras, II (1974) (76)
Some Simple C*-Algebras Constructed As Crossed Products with Discrete Outer Automorphism Groups (1980) (75)
Review: K. R. Goodearl, Partially ordered abelian groups with interpolation (1989) (74)
Reduction of real rank in inductive limits ofC*-algebras (1992) (72)
Cyclic cohomology for one-parameter smooth crossed products (1988) (72)
Automorphisms determined by multipliers on ideals of a C∗-algebra (1976) (70)
The C∗-algebra of a minimal homeomorphism of zero mean dimension (2014) (67)
On totally ordered groups, and K0 (1979) (64)
On tracial approximation (2008) (62)
Fields of generalized power series (1990) (62)
The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension (2016) (50)
Non-commutative spheres II: rational rotations (1992) (46)
DIMENSION GROUPS WITH TORSION (1990) (44)
Classification of certain infinite simpleC*-algebras, II (1995) (44)
A Remark on Invariants for C*-Algebras of Stable Rank One (2007) (43)
On the possible temperatures of a dynamical system (1980) (41)
On inductive limits of matrix algebras over the two-torus (1996) (41)
Derivations of matroidC*-algebras (1970) (40)
Abelian \mathrm{C}^\ast-subalgebras of \mathrm{C}^\ast-algebras of real rank zero and inductive limit \mathrm{C}^\ast-algebras (1996) (36)
Homotopy of a pair of approximately commuting unitaries in a simple C*-algebra (1998) (36)
Cut‐Down Method in the Inductive Limit Decomposition of Non‐Commutative Tori (1996) (35)
Decomposition of unbounded derivations into invariant and approximately inner parts. (1984) (35)
SET THEORY AND OPERATOR ALGEBRAS (2010) (34)
Strong Morita equivalence of higher-dimensional noncommutative tori. II (2003) (34)
On Approximately Finite-Dimensional Von Neuman Algebras, II (1978) (33)
Towards a theory of classification (2007) (32)
Some C∗-Algebras With Outer Derivations, III (1977) (32)
Semigroups of endomorphisms of ℬ(ℋ) (1999) (32)
Simple stably projectionless C*-algebras with generalized tracial rank one (2017) (32)
Morita equivalence of smooth noncommutative tori (2003) (31)
On inductive limits of type I C*-algebras with one-dimensional spectrum (2010) (31)
The isomorphism relation for separable C*-algebras (2013) (31)
NON-COMMUTATIVE SPHERES I (1991) (30)
The automorphism group of the irrational rotation C*-algebra (1993) (29)
Some $C*$-algebras with outer derivations (1973) (28)
Injectivity of the Connecting Maps in AH Inductive Limit Systems (2005) (27)
A Simple Proof of the Dauns-Hofmann Theorem. (1974) (27)
THE TEMPERATURE STATE SPACE OF A ＄C^{*}＄-DYNAMICAL SYSTEM, I (1986) (26)
The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics (1996) (25)
The equivalence of various definitions for a properly infinite von Neumann algebra to be approximately finite dimensional (1976) (25)
AF embeddings of C(T2) with a prescribed K-theory (1992) (23)
Reconstructing C*-Algebras from Their Murray von Neumann Orders (1993) (22)
Addition of $C^*$-algebra extensions. (1989) (22)
Perforated Ordered K0-Groups (2000) (22)
Amenable actions of discrete groups (1993) (21)
A class of simple C ∗ -algebras with stable rank one ✩ (2007) (20)
The Heisenberg group andK-theory (1993) (19)
Quasi-product actions of a compact abelian group on a $C^*$-algebra (1989) (19)
One-Parameter Continuous Fields of Kirchberg Algebras (2007) (19)
Lectures on Operator Theory (1999) (18)
On derivations of $AW^*$-algebras (1978) (17)
The classification of simple separable unital Z-stable locally ASH algebras (2017) (17)
Outer conjugacy classes of trace scaling automorphisms of stable UHF algebras (1998) (17)
A bott periodicity map for crossed products of C*-algebras by discrete groups (1987) (16)
On the Definition of C*-algebras (1973) (16)
Perturbation of Hausdorff Moment Sequences, and an Application to the Theory of C*-Algebras of Real Rank Zero (2005) (16)
Decomposition rank of approximately subhomogeneous C*-algebras (2015) (15)
Embedding AW*-Algebras as Double Commutants in Type I Algebras (1983) (15)
A characterisation of lattice-ordered abelian groups (1993) (14)
Crossed Products (1999) (14)
Strong topological transitivity and $C^{*}$-dynamical systems (1985) (14)
Finite group actions on AF algebras obtained by folding the interval (1994) (14)
Derivations Determined by Multipliers on Ideals of a C*-Algebra (1974) (13)
K-Theoretic Classification for Inductive Limit Z2 Actions on af Algebras (1996) (12)
On the Radius of Comparison of a Commutative C*-algebra (2013) (11)
The Category of Bratteli Diagrams (2014) (11)
Small eigenvalue variation and real rank zero (1996) (11)
On the convergence of a sequence of completely positive maps to the identity (2000) (11)
Lexicographic Direct Sums of Elementary C*-Algebras (1987) (10)
ON THE CLASSIFICATION OF SIMPLE UNITAL C *-ALGEBRAS WITH FINITE DECOMPOSITION RANK (2015) (10)
The state space of theK0-group of a simple separableC+-algebra (1994) (10)
On lifting and extending derivations of approximately finite-dimensional C∗-algebras (1974) (9)
The Mackey Borel structure on the spectrum of an approximately finite-dimensional separable *-algebra (1977) (9)
Convergence of automorphisms in certain C∗-algebras (1972) (9)
A Hilbert bundle characterization of Hilbert C*-modules (2008) (9)
The Category of Ordered Bratteli Diagrams (2015) (8)
Smooth Lie group actions on non-commutative tori (1989) (8)
Universally weakly inner one-parameter automorphism groups of seperable C∗ -algebras, II (1979) (8)
FRAMES IN HILBERT C*-MODULES AND MORITA EQUIVALENT C*-ALGEBRAS (2016) (8)
The soft torus III: The flip (1991) (8)
Ideal preserving automorphisms of postliminary *-algebras (1971) (7)
All Irrational Extended Rotation Algebras are AF Algebras (2015) (7)
K-theory of certain purely infinite crossed products (2011) (7)
On Fuglede's Theorem and Scalar‐Type Operators (1972) (7)
A characterization of compact groups (1971) (7)
The characterization of differential operators by locality: classical flows (1986) (7)
One-Parameter Continuous Fields of Kirchberg Algebras. II (2011) (7)
The classification of simple separable unital locally ASH algebras (2015) (7)
The classification ofseparable simple C*-algebras which are inductive limits of continuous-trace C*-algebraswith spectrum homeomorphic to the closed interval [0,1] (2007) (6)
On Lie algebras of operators (1989) (6)
THE GLOBAL DIMENSION OF THE ENDOMORPHISM RING OF A GENERATOR-COGENERATOR FOR A HEREDITARY ARTIN ALGEBRA (2008) (6)
Quasi-Product Actions of a Compact Group on a C*-Algebra (1993) (6)
Locality and differential operators on C∗-algebras (1986) (6)
Normal Elements of a Simple C*-Algebra (1994) (6)
Ideals and simplicity of crossed products of graph C-algebras by quasi-free actions (2009) (5)
Finite projections in tensor product von Neumann algebras (1975) (5)
Abelian \mathrm{C}^\ast -algebras (1996) (5)
A relative double commutant theorem for hereditary sub-C*-algebras (2007) (5)
Correction to: ``An extension of some results of takesaki in the reduction theory of von neumann algebras''. (1972) (5)
An Abstract Dauns-Hofmann-Kaplansky Multiplier Theorem (1975) (4)
The classification of certain ASH C*-algebras of real rank zero (2020) (4)
An extension of some results of Takesaki in the reduction theory of von Neumann algebras. (1971) (4)
Free products of von Neumann algebras (1999) (3)
Perspectivity in the Projection Lattice of an AW ∗ -Algebra (1973) (3)
Linear Normed Spaces with Extension Property (1966) (3)
Future targets in the classification program for amenable C ∗-algebras (2017) (3)
On extending the trace as a linear functional (1979) (3)
On the Isomorphism Problem of p-Endomorphisms (2003) (3)
Extended rotation algebras: Adjoining spectral projections to rotation algebras (2011) (3)
On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra (1975) (3)
On the cones of lower semicontinuous traces and 2-quasitraces of a C*-algebra (2008) (2)
SOME PROBLEMS ABOUT OPERATOR ALGEBRAS WITH SET-THEORETIC FLAVOR (2008) (2)
Some C*-Algebras with Outer Derivations, II (1974) (2)
On the Jones index (1999) (2)
On an Abstract Classification of Finite-dimensional Hopf C*-algebras (2014) (2)
On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra (2022) (2)
The bundle of KMS state spaces for flows on a unital C*-algebra (2021) (2)
Descriptive Set Theory and Operator Algebras (2012) (2)
Another Weak Stone-Weierstrass Theorem for C *-Algebras (1972) (2)
Appendix to: Compact abelian groups of automorphisms of simpleC*-Algebras (1977) (1)
Tracial approximation is stable (2017) (1)
Remarks on the Pimsner-Voiculescu Embedding (2013) (1)
On Classification of Certain C *-Algebras (2000) (1)
Stable homotopy, $1$-dimensional NCCW complexes, and Property (H) (2019) (1)
Extending traces to factorial traces. (1981) (1)
C*-Algebras, Dynamics, and Classification (2012) (1)
Erratum: An Application of the Holomorphic Functional Calculus to Sharpen a Classical Matrix Commutator Theorem (1970) (1)
Crossed products II: Examples (1999) (0)
C*-algebras: Constructions (1999) (0)
The isomorphism theorem (1999) (0)
Generalized Tracially Approximated C*-algebras (2022) (0)
C*-Algebras and their Classification (2006) (0)
ON MULTIPLIERS FOR THE HILBERT SPACE OF A HYPERGROUP (2009) (0)
Basic structure of von Neumann algebras (1999) (0)
Some (:*-algebras with outer (2016) (0)
About the Cuntz Comparison for Non-simple C*-algebras (2017) (0)
Positivity in C*-algebras (1999) (0)
Rationally AF algebras and KMS states of Z-absorbing C*-algebras (2022) (0)
Graphs and connections (1999) (0)
On Extending the Trace as a Linear Functional, II (1980) (0)
Perspectivity in the projection lattice of an *-algebra (1973) (0)
One-parameter automorphism groups of operator algebras allowing spectral projections (1984) (0)
C*-algebraic K-theory made concrete, or trick or treat with 2×2 matrix algebras (1999) (0)
An extension of the recoupling model (1999) (0)
A weakening of the axioms for aC*-algebra (1970) (0)
The equivalence between injectivity and hyperfiniteness, part II (1999) (0)
The Tomita-Takesaki theory explained (1999) (0)
On the Bundle of KMS State Spaces for Flows on a $${\mathcal {Z}}$$-Absorbing C*-Algebra (2021) (0)
Relations to minimal models and subfactors (1999) (0)
The Kauffman-Lins recoupling theory (1999) (0)
Introductory topics on subfactors (1999) (0)
C*-algebras and several complex variables (1999) (0)
The range of the invariant (1999) (0)
C*-algebras: Definitions and examples (1999) (0)
The cyclic homology of algebras with adjoined unit (1991) (0)
Classification of amenable C*-algebras II (1999) (0)
The Characterization of Differential Operators by Locality: Dissipations and Ellipticity (1985) (0)
VOICULESCU – BROWN – DOUGLAS – FILLMORE ABSORPTION THEOREM (2006) (0)
AF-algebras and Bratteli diagrams (1999) (0)
The Cuntz semigroup organized by (2019) (0)
von Neumann algebras (Type ₁ factors) (1999) (0)
An analog of the Krein–Milman theorem for certain non-compact convex sets (2021) (0)
Coloured Isomorphism of Classifiable C*-algebras (2022) (0)
C*-algebras and mathematical physics (1999) (0)
K-theory II: Roots in topology and index theory (1999) (0)
Classification of simple purely infinite C*-algebras I (1999) (0)
Simple AI-algebras and the range of the invariant (1999) (0)
Thomsen-Li's Theorem Revisited (2018) (0)
DECOMPOSITION RANK OF APPROXIMATELY (2015) (0)
Topology and Measure in Dynamics and Operator Algebras (2020) (0)
Homomorphisms from the Fredholm Semigroup to Abelian Semigroups (2012) (0)
Distance between unitary orbits in C∗-algebras with stable rank one and real rank zero (2021) (0)
Remarks on Villadsen algebras (2022) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With George A. Elliott?

George A. Elliott is affiliated with the following schools:

University of Toronto

George A. Elliott's Academic­Influence.com Rankings

Why Is George A. Elliott Influential?

George A. Elliott's Published Works

Published Works

What Schools Are Affiliated With George A. Elliott?

George A. Elliott's AcademicInfluence.com Rankings