Operator Algebras and their Connections with Topology and Ergodic Theory: Proceedings of the OATE Conference held in Buşteni, Romania, Aug. 29 – Sept. 9, 1983 [1 ed.] 3540156437, 9783540156437 [DJVU]
132 95 3MB
English-French Pages 598 [618] Year 1985
Table of contents :
Ergodic properties of some C*-dynamical systems....Pages 1-11
Factor states on C*-algebras....Pages 12-16
Continuous nests and the absorption principle....Pages 17-29
Banach bimodule associated to an action of a discrete group on a compact space....Pages 30-37
Noncommutative shape theory....Pages 38-45
Locality and differential operators on C*-algebras, II....Pages 46-83
Strong ergodicity and full II 1 -factors....Pages 84-90
Diameters of state spaces of type III factors....Pages 91-116
Problems in quantum field theory and in operator algebras....Pages 117-128
Quasi-product states on C*-algebras....Pages 129-151
Abelian group actions on type I C*-algebras....Pages 152-169
Injectivity and decomposition of completely bounded maps....Pages 170-222
JB-algebras with tensor products are C*-algebras....Pages 223-229
Reduced C*-algebras of discrete groups which are simple with a unique trace....Pages 230-253
Signature operator on lipschitz manifolds and unbounded Kasparov bimodules....Pages 254-288
Group actions on Irees and K-amenability....Pages 289-296
Diagonals in algebras of continuous trace....Pages 297-311
Appendix....Pages 312-323
Some problems and results on reflexive algebras....Pages 324-330
Approximation for actions of amenable groups and transversal automorphisms....Pages 331-346
Remarks on pseudonormalcy....Pages 347-349
Groupoid dynamical systems and crossed product....Pages 350-361
Z 2 — Equivariant K — Theory....Pages 362-373
Ranges of traces on K o of reduced crossed products by free groups....Pages 374-408
K-theory of the reduced C*-algebra of SL 2 (Q p )....Pages 409-420
Hyperfinite subalgebras normalized by a given automorphism and related problems....Pages 421-433
Two applications of the dual groupoid of a C*-algebra....Pages 434-445
Invariants for topological markov chains....Pages 446-455
"Vector bundles" over higher dimensional "non-commutative tori"....Pages 456-467
Produits tensoriels de Z - modules et applications....Pages 468-485
Cohomology and the absence of strong ergodicity for ergodic group actions....Pages 486-496
Coding of markov shifts....Pages 497-508
C*-algebras of anosov foliations....Pages 509-516
A lattice-theoretic characterization of choquet simplexes....Pages 517-525
Dirac induction for semi-simple lie groups having one conjugacy class of cartan subgroups....Pages 526-555
Symmetries of some reduced free product C*-algebras....Pages 556-588
Vector Gleason measures and their Fourier transforms....Pages 589-594
Ergodic properties of some C*-dynamical systems....Pages 1-11
Factor states on C*-algebras....Pages 12-16
Continuous nests and the absorption principle....Pages 17-29
Banach bimodule associated to an action of a discrete group on a compact space....Pages 30-37
Noncommutative shape theory....Pages 38-45
Locality and differential operators on C*-algebras, II....Pages 46-83
Strong ergodicity and full II 1 -factors....Pages 84-90
Diameters of state spaces of type III factors....Pages 91-116
Problems in quantum field theory and in operator algebras....Pages 117-128
Quasi-product states on C*-algebras....Pages 129-151
Abelian group actions on type I C*-algebras....Pages 152-169
Injectivity and decomposition of completely bounded maps....Pages 170-222
JB-algebras with tensor products are C*-algebras....Pages 223-229
Reduced C*-algebras of discrete groups which are simple with a unique trace....Pages 230-253
Signature operator on lipschitz manifolds and unbounded Kasparov bimodules....Pages 254-288
Group actions on Irees and K-amenability....Pages 289-296
Diagonals in algebras of continuous trace....Pages 297-311
Appendix....Pages 312-323
Some problems and results on reflexive algebras....Pages 324-330
Approximation for actions of amenable groups and transversal automorphisms....Pages 331-346
Remarks on pseudonormalcy....Pages 347-349
Groupoid dynamical systems and crossed product....Pages 350-361
Z 2 — Equivariant K — Theory....Pages 362-373
Ranges of traces on K o of reduced crossed products by free groups....Pages 374-408
K-theory of the reduced C*-algebra of SL 2 (Q p )....Pages 409-420
Hyperfinite subalgebras normalized by a given automorphism and related problems....Pages 421-433
Two applications of the dual groupoid of a C*-algebra....Pages 434-445
Invariants for topological markov chains....Pages 446-455
"Vector bundles" over higher dimensional "non-commutative tori"....Pages 456-467
Produits tensoriels de Z - modules et applications....Pages 468-485
Cohomology and the absence of strong ergodicity for ergodic group actions....Pages 486-496
Coding of markov shifts....Pages 497-508
C*-algebras of anosov foliations....Pages 509-516
A lattice-theoretic characterization of choquet simplexes....Pages 517-525
Dirac induction for semi-simple lie groups having one conjugacy class of cartan subgroups....Pages 526-555
Symmetries of some reduced free product C*-algebras....Pages 556-588
Vector Gleason measures and their Fourier transforms....Pages 589-594
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