Dimension groups for interval maps.
Division Rings and Group von Neumann Algebras.
Equivariant KK-theory and the Novikov conjecture.
Ext classes and embeddings for -algebras of graphs with sinks.
Extensions of certain real rank zero -algebras
G. Elliott extended the classification theory of -algebras to certain real rank zero inductive limits of subhomogeneous -algebras with one dimensional spectrum. We show that this class of -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the -group. Perturbation and lifting results are provided for certain subhomogeneous -algebras.
Extensions of dimension groups and AF C*-algebras.
Extensions of stable -algebras.
Flow equivalence of reducible shifts of finite type and Cuntz-Krieger algebras.
Gauss polynomials and the rotation algebra.
Generalized Weyl-von Neumann Theorems (II).
Geometric -homolgy and controlled paths.
Groups acting on products of trees, tiling systems and analytic -theory.
Higher index theorems and the boundary map in cyclic cohomology.
Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras.
Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.
Homotopy classes of elliptic transmission problems over -algebras.
Homotopy invariance of higher signatures and -manifold groups
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable -manifolds, including the “piecewise geometric” ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable -manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The...
Homotopy invariance of relative eta-invariants and -algebra -theory.
Index pairings for pullbacks of C*-algebras
In this overview, we study how to reduce the index pairing for a fibre-product C*-algebra to the index pairing for the C*-algebra over which the fibre product is taken. As an example we analyze the case of suspensions and apply it to noncommutative instanton bundles of arbitrary charges over the suspension of quantum deformations of the 3-sphere.
Indice d'une espérance conditionnelle