Ola Bratteli

Q: What Schools Are Affiliated With Ola Bratteli

Ola Bratteli is affiliated with the following schools: University of Oslo, Norwegian University of Science and Technology

Ola Bratteli's AcademicInfluence.com Rankings

Ola Bratteli

Mathematics

#3180

World Rank

#4750

Historical Rank

Measure Theory

#1424

World Rank

#1787

Historical Rank

mathematics Degrees

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Mathematics

Why Is Ola Bratteli Influential?

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According to Wikipedia, Ola Bratteli was a Norwegian mathematician. He was a son of Trygve Bratteli and Randi Bratteli . He received a PhD degree in 1974. He was appointed as professor at the University of Trondheim in 1980 and at the University of Oslo in 1991. He was a member of the Norwegian Academy of Science and Letters.

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Ola Bratteli'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

Operator Algebras And Quantum Statistical Mechanics (1979) (3491)
Inductive limits of nite dimensional C-algebras (1972) (620)
Iterated Function Systems and Permutation Representations of the Cuntz Algebra (1996) (232)
Operator Algebras and Quantum Statistical Mechanics: Equilibrium States. Models in Quantum Statistical Mechanics (2003) (196)
C[*]- and W[*]-algebras symmetry groups decomposition of states (1987) (182)
Unbounded derivations of C*-algebras (1975) (105)
Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scaleN (1996) (98)
Wavelets through a looking glass (2002) (96)
Derivations, Dissipations and Group Actions on C*-algebras (1987) (82)
Structure spaces of approximately finite-dimensional C∗-algebras, II (1974) (77)
Reduction of real rank in inductive limits ofC*-algebras (1992) (72)
Endomorphisms of B(H). II. Finitely Correlated States on On (1997) (72)
Equilibrium states models in quantum statistical mechanics (1997) (61)
Crossed products of UHF algebras by product type actions (1979) (58)
The crossed product of a UHF algebra by a shift (1993) (56)
Non-commutative spheres (1992) (55)
Wavelet filters and infinite-dimensional unitary groups (2000) (55)
Pure states on O_d (1997) (54)
Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups (1999) (49)
Non-commutative spheres II: rational rotations (1992) (46)
On the possible temperatures of a dynamical system (1980) (41)
Stability properties and the KMS condition (1978) (40)
Unbounded derivations tangential to compact groups of automorphisms, II☆ (1982) (38)
The Rohlin Property For Quasi‐Free Automorphisms of the Fermion Algebra (1995) (37)
Endomorphisms of B(H) (1994) (37)
Homotopy of a pair of approximately commuting unitaries in a simple C*-algebra (1998) (36)
Decomposition of unbounded derivations into invariant and approximately inner parts. (1984) (35)
Wavelets Through a Looking Glass: The World of the Spectrum (2013) (35)
Representation Theory and Numerical AF-invariants: The representations and centralizers of certain states on O_d (1999) (35)
Unbounded derivations ofC*-algebras II (1976) (35)
Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams (1999) (32)
Unbounded derivations of von Neumann algebras (1976) (30)
NON-COMMUTATIVE SPHERES I (1991) (30)
Positivity and monotonicity properties ofC0-semigroups. I (1980) (29)
Computation of isomorphism invariants for stationary dimension groups (2002) (28)
Representation Theory and Numerical AF-Invariants: The Representations and Centralizers of Certain States on Od (2004) (26)
THE TEMPERATURE STATE SPACE OF A ＄C^{*}＄-DYNAMICAL SYSTEM, I (1986) (26)
Relaxing the clustering condition in the derivation of the KMS property (1976) (24)
CONVERGENCE OF THE CASCADE ALGORITHM AT IRREGULAR SCALING FUNCTIONS (1999) (23)
Asymptotics of periodic subelliptic operators (1995) (20)
Quasi-product actions of a compact abelian group on a $C^*$-algebra (1989) (19)
Rohlin flows on the Cuntz algebra O (2007) (17)
Ground states of quantum spin systems (1978) (17)
On the Classification of C*-algebras of real Rank Zero, III: The Infinite Case (1995) (17)
Greens functions, Hamiltonians and modular automorphisms (1976) (17)
Positive $C_0$-semigroups on $C^*$-algebras. (1981) (16)
A $C^*$-algebraic Schoenberg theorem (1984) (16)
Crossed products of totally disconnected spaces by (1993) (15)
The heat semigroup and integrability of Lie algebras (1988) (14)
Spectral asymptotics of periodic elliptic operators (1997) (14)
Finite group actions on AF algebras obtained by folding the interval (1994) (14)
A connection between multiresolution wavelet theory of scale N and representations of the Cuntz algebra O_N (1996) (14)
Strong topological transitivity and $C^{*}$-dynamical systems (1985) (14)
Generation of Semigroups, and Two-Dimensional Quantum Lattice Systems (1980) (13)
The center of approximately finite-dimensional C∗-algebras (1976) (13)
Derivations commuting with abelian gauge actions on lattice systems (1982) (13)
Derivations Tangential to Compact Groups: The Non‐Abelian Case (1986) (12)
Almost Shift Invariant Projections in Infinite Tensor Products (1993) (12)
Homogeneity of the Pure State Space of the Cuntz Algebra (1999) (11)
Dynamical semigroups commuting with compact abelian actions (1983) (11)
Approximately inner derivations (2007) (11)
Conservation of estimates in quantum field theory (1972) (11)
Small eigenvalue variation and real rank zero (1996) (11)
Unitary representations of Lie groups and Gårding’s inequality (1989) (11)
Unbounded derivations and invariant states (1978) (10)
Embedding Product Type Actions into C*-Dynamical Systems (1987) (10)
A dichotomy for derivations on {${\scr O}\sb n$} (1986) (9)
Subelliptic operators on Lie groups: Variable coefficients (1996) (9)
AF flows and continuous symmetries (2000) (9)
Unbounded derivations and invariant trace states (1976) (9)
Perturbations of flows on Banach spaces and operator algebras (1978) (9)
Smooth Lie group actions on non-commutative tori (1989) (8)
Derivations Tangential to Compact Group Actions: Spectral Conditions in the Weak Closure (1985) (8)
Positive semigroups of operators, and applications (1984) (7)
Integration In Abelian C*-Dynamical Systems (1985) (7)
Equilibrium states of a Bose gas with repulsive interactions (1980) (7)
Stability and Equilibrium (1997) (7)
The characterization of differential operators by locality: classical flows (1986) (7)
Locality and differential operators on C∗-algebras (1986) (6)
Quasi-Product Actions of a Compact Group on a C*-Algebra (1993) (6)
Corrigendum to the paper ‘Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups’ (2002) (6)
Quasianalytic vectors and derivations of operator algebras. (1976) (6)
Abundance of Invariant and Almost Invariant Pure States of -Dynamical Systems (1996) (6)
On Lie algebras of operators (1989) (6)
On dynamical semigroups and compact group actions (1984) (5)
Cuntz algebras and multiresolution wavelet analysis of scale N (1997) (5)
States in Quantum Statistical Mechanics (1981) (5)
Relative locality of derivations (1984) (5)
Positive semigroups of operators, and applications: Editors' introduction (1984) (3)
Introduction with historical remarks (1986) (2)
Conservative derivations and dissipative Laplacians (1989) (2)
A remark on extensions of quasi-free derivations on the CAR-algebra (1982) (2)
Second-order elliptic operators and heat kernels on Lie groups (1991) (2)
The transfer operator and Perron-Frobenius theory (2002) (2)
The heat semigroup, derivations and Reynolds' identity (1989) (1)
Unbounded derivations of C*-algebras and corresponding dynamics (1978) (1)
Operator algebras : the Abel Symposium 2004 : proceedings of the First Abel Symposium, Oslo, September 3-5, 2004 (2006) (1)
Review: Jerome A. Goldstein, Semigroups of linear operators and applications (1988) (1)
Continuous Quantum Systems. II (1997) (0)
Can you hear the shape of a wavelet (2002) (0)
Rohlin flows on the Cuntz algebra $O_\infty$ (2005) (0)
O A ] 1 8 Ja n 20 05 Rohlin flows on the Cuntz algebra O ∞ (2005) (0)
Orthogonalization and isospectral approximation (2002) (0)
Operator methods in fractal analysis , wavelets and dynamical systems ( 06 w 5027 ) (2007) (0)
Generators of One-Parameter Groups of *-Automorphisms on UHF-Algebras (1980) (0)
Comparison of commuting one-parameter groups of isometries (1990) (0)
Advances in operator algebras and mathematical physics : conference proceedings Sinaia (Romania), June 26- July 4, 2003 (2005) (0)
Fe b 20 00 Wavelet filters and infinite-dimensional unitary groups (2000) (0)
A ug 2 00 0 Wavelet filters and infinite-dimensional unitary groups (2000) (0)
Crossed products of totally disconnected spaces by S 0143385700007483 _ inline 1 (2007) (0)
The Characterization of Differential Operators by Locality: Dissipations and Ellipticity (1985) (0)
Operator Algebras (vol. # 1) (2006) (0)
A ug 2 00 0 AF flows and continuous symmetries (2008) (0)
On some $C^{\star}$-dynamical systems (1987) (0)
Additional Remarks (2003) (0)
Models of Quantum Statistical Mechanics (1981) (0)
Groups, Semigroups, and Generators (1979) (0)
The fixed points of the transfer operator (2002) (0)
Homotopy Theory and Cascades (2002) (0)
Quantum Spin Systems (1997) (0)
Local norm convergence of states on the zero time Bose fields (1974) (0)
General theory of derivations (1986) (0)
Integration In Abelian ODynamical Systems (2005) (0)

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What Schools Are Affiliated With Ola Bratteli?

Ola Bratteli is affiliated with the following schools:

Ola Bratteli's Academic­Influence.com Rankings