Operator Algebras and their Connections with Topology and Ergodic Theory

Inhaltsverzeichnis

• 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.