Operator Algebras and their Connections with Topology and Ergodic Theory

Proceedings of the OATE Conference held in Busteni, Romania, August 29 - September 9, 1983
Herausgegeben:Araki, Huzihiro; Moore, Calvin C.; Stratila, Serban-Valentin; Voiculescu, Dan-Virgil;Mitarbeit:Arsene, G.

• Broschiertes Buch

Produktbeschreibung

Ergodic properties of some C*-dynamical systems.- Factor states on C*-algebras.- Continuous nests and the absorption principle.- Banach bimodule associated to an action of a discrete group on a compact space.- Noncommutative shape theory.- Locality and differential operators on C*-algebras, II.- Strong ergodicity and full II1-factors.- Diameters of state spaces of type III factors.- Problems in quantum field theory and in operator algebras.- Quasi-product states on C*-algebras.- Abelian group actions on type I C*-algebras.- Injectivity and decomposition of completely bounded maps.- JB-algebras with tensor products are C*-algebras.- Reduced C*-algebras of discrete groups which are simple with a unique trace.- Signature operator on lipschitz manifolds and unbounded Kasparov bimodules.- Group actions on Irees and K-amenability.- Diagonals in algebras of continuous trace.- Some problems and results on reflexive algebras.- Approximation for actions of amenable groups and transversal automorphisms.- Remarks on pseudonormalcy.- Groupoid dynamical systems and crossed product.- Z2 ¿ Equivariant K ¿ Theory.- Ranges of traces on Ko of reduced crossed products by free groups.- K-theory of the reduced C*-algebra of SL2(Qp).- Hyperfinite subalgebras normalized by a given automorphism and related problems.- Two applications of the dual groupoid of a C*-algebra.- Invariants for topological markov chains.- "Vector bundles" over higher dimensional "non-commutative tori".- Produits tensoriels de Z - modules et applications.- Cohomology and the absence of strong ergodicity for ergodic group actions.- Coding of markov shifts.- C*-algebras of anosov foliations.- A lattice-theoretic characterization of choquet simplexes.- Dirac induction for semi-simple lie groups having one conjugacy class of cartan subgroups.- Symmetries of some reduced free product C*-algebras.- Vector Gleason measures and their Fourier transforms.

Produktdetails

• Lecture Notes in Mathematics 1132
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-15643-7
• 1985.
• Seitenzahl: 604
• Erscheinungstermin: 1. Juni 1985
• Englisch
• Abmessung: 235mm x 155mm x 33mm
• Gewicht: 922g
• ISBN-13: 9783540156437
• ISBN-10: 3540156437
• Artikelnr.: 23585506

Inhaltsangabe

Ergodic properties of some C*-dynamical systems.- Factor states on C*-algebras.- Continuous nests and the absorption principle.- Banach bimodule associated to an action of a discrete group on a compact space.- Noncommutative shape theory.- Locality and differential operators on C*-algebras, II.- Strong ergodicity and full II1-factors.- Diameters of state spaces of type III factors.- Problems in quantum field theory and in operator algebras.- Quasi-product states on C*-algebras.- Abelian group actions on type I C*-algebras.- Injectivity and decomposition of completely bounded maps.- JB-algebras with tensor products are C*-algebras.- Reduced C*-algebras of discrete groups which are simple with a unique trace.- Signature operator on lipschitz manifolds and unbounded Kasparov bimodules.- Group actions on Irees and K-amenability.- Diagonals in algebras of continuous trace.- Some problems and results on reflexive algebras.- Approximation for actions of amenable groups and transversal automorphisms.- Remarks on pseudonormalcy.- Groupoid dynamical systems and crossed product.- Z2 - Equivariant K - Theory.- Ranges of traces on Ko of reduced crossed products by free groups.- K-theory of the reduced C*-algebra of SL2(Qp).- Hyperfinite subalgebras normalized by a given automorphism and related problems.- Two applications of the dual groupoid of a C*-algebra.- Invariants for topological markov chains.- "Vector bundles" over higher dimensional "non-commutative tori".- Produits tensoriels de Z - modules et applications.- Cohomology and the absence of strong ergodicity for ergodic group actions.- Coding of markov shifts.- C*-algebras of anosov foliations.- A lattice-theoretic characterization of choquet simplexes.- Dirac induction for semi-simple lie groups having one conjugacyclass of cartan subgroups.- Symmetries of some reduced free product C*-algebras.- Vector Gleason measures and their Fourier transforms.