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arXiv · 1304.7130

K-theory and exact sequences of partial translation algebras

Jacek Brodzki·Graham A. Niblo·Nick Wright
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Abstract

In an earlier paper, the authors introduced partial translation algebras as a generalisation of group C*-algebras. Here we establish an extension of partial translation algebras, which may be viewed as an excision theorem in this context. We apply this general framework to compute the K-theory of partial translation algebras and group C*-algebras in the context of almost invariant subspaces of discrete groups. This generalises the work of Cuntz, Lance, Pimsner and Voiculescu. In particular we provide a new perspective on Pimsner's calculation of the K-theory for a graph product of groups.

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BibTeXRIS

Jacek Brodzki, Graham A. Niblo, Nick Wright. 2013-04-26. K-theory and exact sequences of partial translation algebras. https://arxiv.org/abs/1304.7130

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