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arXiv · 0710.1410

Equivariant representable K-theory

Heath Emerson·Ralf Meyer
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Abstract

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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Heath Emerson, Ralf Meyer. 2008-12-12. Equivariant representable K-theory. https://doi.org/10.1112/jtopol%2Fjtp003

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