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Displaying 101 – 118 of 118

The cohomology ring of free loop spaces.

Menichi, Luc (2001)

Homology, Homotopy and Applications

The Connes-Kasparov conjecture for almost connected groups and for linear $p$ -adic groups

Jérôme Chabert, Siegfried Echterhoff, Ryszard Nest (2003)

Publications Mathématiques de l'IHÉS

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 cyclic homology of affine algebras.

Ionnis Emmanouil (1995)

Inventiones mathematicae

The index of projective families of elliptic operators.

Mathai, Varghese, Melrose, Richard B., Singer, Isadore M. (2005)

Geometry & Topology

The K-theory of abelian subalgebras of AF algebras.

M. Dadarlat, T.A. Loring (1992)

Journal für die reine und angewandte Mathematik

The K-theory of the triple-Toeplitz deformation of the complex projective plane

Jan Rudnik (2012)

Banach Center Publications

$π_{j}^{i} : B_{i} \to B_{i j} = B_{j i}$ , i,j ∈ 1,2,3, i ≠ j, of C*-epimorphisms assuming that it satisfies the cocycle condition. Then we show how to compute the K-groups of the multi-pullback C*-algebra of such a family, and exemplify it in the case of the triple-Toeplitz deformation of ℂP².

The Mayer-Vietoris and the Puppe sequences in K-theory for C*-algebras

J. Hilgert (1986)

Studia Mathematica

The range of the Elliott invariant.

Jesper Villadsen (1995)

Journal für die reine und angewandte Mathematik

The signature package on Witt spaces

Pierre Albin, Éric Leichtnam, Rafe Mazzeo, Paolo Piazza (2012)

Annales scientifiques de l'École Normale Supérieure

In this paper we prove a variety of results about the signature operator on Witt spaces. First, we give a parametrix construction for the signature operator on any compact, oriented, stratified pseudomanifold $X$ which satisfies the Witt condition. This construction, which is inductive over the ‘depth’ of the singularity, is then used to show that the signature operator is essentially self-adjoint and has discrete spectrum of finite multiplicity, so that its index—the analytic signature of $X$ —is well-defined....