Operator Algebras and their Connections with Topology and Ergodic Theory

Inhalt

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.