Nonstable K-Theory Results for Some AH-Algebras.
Notes on a class of simple C*-algebras with real rank zero.
A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerival invariant attached to the construction determines wether a given algebra has real rank 0 or 1. Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense. (This phenomenon...
Of-groups of crossed products by groups acting on trees.
On analytic torsion over C*-algebras
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundles over a compact manifold. The advantage of such a relative torsion is that it is defined without any hypotheses on the flat C*-algebra bundle. In the case where the flat C*-algebra bundle is of determinant class, we relate it easily to the L^2 torsion as defined in [7],[5].
On Cartan Homotopy Formulas in Cyclic Homology.
On graph -algebras with a linear ideal lattice.
On inductive limits of matrix algebras over higher dimensional spaces, part II.
On inductive limits of matrix algebras over higher dimensional spaces, part I.
On Invariants of Hirzebruch and Cheeger-Gromov.
On smooth extensions of odd dimensional spheres and multidimensional Helton and Howe formula.
On the asymptotic homotopy type of inductive limit C*-algebras.
On the classification of C*-algebras of real rank zero.
On the geometry of the unit ball of a C*- algebra.
On the -theory of higher rank graph -algebras.
On the K-theory of the -algebra generated by the left regular representation of an Ore semigroup
We compute the -theory of -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the -theory of these semigroup -algebras in terms of the -theory for the reduced group -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
On the universal -algebra generated by a partial isometry.
Opérateurs transversalement elliptiques et formes différentielles équivariantes
Operator -theory for groups which act properly and isometrically on Hilbert space.
Operator k-theory for the group SU(n, 1).
Permanence properties of the Baum-Connes conjecture.