The C*-algebra generated by two projections.
The C*-Algebra of a Singular Elliptic Problem on a Noncompact Riemannian Manifold.
The C*-algebras of codimension one foliations without holonomy.
The canonical endomorphism for infinite index inclusions.
The centralizer under tensor product.
The closed Friedman world model with the initial and final singularities as a non-commutative space
The most elegant definition of singularities in general relativity as b-boundary points, when applied to the closed Friedman world model, leads to the disastrous situation: both the initial and final singularities form the single point of the b-boundary which is not Hausdorff separated from the rest of space-time. We apply Alain Connes' method of non-commutative geometry, defined in terms of a C*-algebra, to this case. It turns out that both the initial and final singularities can be analysed as...
The closure of the invertibles in a von Neumann algebra
In this paper we consider a subset  of a Banach algebra A (containing all elements of A which have a generalized inverse) and characterize membership in the closure of the invertibles for the elements of Â. Thus our result yields a characterization of the closure of the invertible group for all those Banach algebras A which satisfy  = A. In particular, we prove that  = A when A is a von Neumann algebra. We also derive from our characterization new proofs of previously known results, namely Feldman...
The cohomology ring of free loop spaces.
The Connes-Kasparov conjecture for almost connected groups and for linear -adic groups
Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C*-algebra of G is an isomorphism. The same is shown for the groups of k-rational points of any linear algebraic group over a local field k of characteristic zero.
The continuity of multiplication for two topologies associated with a semifinite trace on von Neumann algebra.
The correspondence associated to an inner completely positive map.
The cyclic homology of affine algebras.
The cyclic homology of crossed product algebras.
The cyclic homology of crossed product algebras, II. Topological algebras.
The cyclic homology of
The de Rham theorem for the noncommutative complex of Cenkl and Porter.
The Dimension Lattice of a JBW-Algebra.
The distribution of non-commutative Rademacher series.
The dual of the multiplier algebra of Pedersen's ideal.
The Dunford-Pettis property in C*-algebras