Title

A Cuntz-Pimsner model for the C-algebra of a graph of groups

Publication Name

Journal of Mathematical Analysis and Applications

Abstract

We provide a Cuntz-Pimsner model for graph of groups C -algebras. This allows us to compute the K-theory of a range of examples and show that graph of groups C -algebras can be realised as Exel-Pardo algebras. We also make a preliminary investigation of whether the crossed product algebra of Baumslag-Solitar groups acting on the boundary of certain trees satisfies Poincaré duality in KK-theory. By constructing a K-theory duality class we compute the K-homology of these crossed products. ⁎ ⁎

Open Access Status

This publication is not available as open access

Volume

496

Issue

2

Article Number

124838

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.jmaa.2020.124838