Paul D. Mitchener

collaborators

4 papers

math.KT2007

Algebraic $K$ -theory Spectra and Factorisations of Analytic Assembly Maps

Paul D. Mitchener

In this article we use existing machinery to define connective $K$ -theory spectra associated to topological ringoids. Algebraic $K$ -theory of discrete ringoids, and the analytic $K…

math.KT2007

$K K$ -theory spectra for $C^{}$ -categories and discrete groupoid $C^{}$ -algebras

Paul D. Mitchener

In this paper we refine a version of bivariant $K$ -theory developed by Cuntz to define symmetric spectra representing the $K K$ -theory of $C^{*}$ -categories and discrete groupoid $…

math.KT2002

C*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecture

Paul D. Mitchener

In this article we give a characterisation of the Baum-Connes assembly map with coefficients. The technical tools needed are the K-theory of C*-categories, and equivariant KK-theor…

math.KT2002

KK-theory of C*-categories and the analytic assembly map

Paul D. Mitchener

We define KK-theory spectra associated to C*-categories and look at certain instances of the Kasparov product at this level. This machinery is used to give a description of the ana…

Algebraic K-theory Spectra and Factorisations of Analytic Assembly Maps

KK-theory spectra for C∗-categories and discrete groupoid C∗-algebras

C*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecture

KK-theory of C*-categories and the analytic assembly map

Algebraic $K$ -theory Spectra and Factorisations of Analytic Assembly Maps

$K K$ -theory spectra for $C^{}$ -categories and discrete groupoid $C^{}$ -algebras