Equivariant representable K-theory

Details Equivariant representable K-theory Equivariant representable K-theory

2007-10-07

arxiv.org/abs/0710.1410v2

Mathematics

K-Theory and Homology

Final version. Only minor corrections. 33 pages

Scientific paper

We interpret certain equivariant Kasparov groups as equivariant representable K-theory groups. We compute these groups via a classifying space and as K-theory groups of suitable sigma-C*-algebras. We also relate equivariant vector bundles to these sigma-C*-algebras and provide sufficient conditions for equivariant vector bundles to generate representable K-theory. Mostly we work in the generality of locally compact groupoids with Haar system.

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