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Bimodules for Cuntz-Krieger algebras of infinite matrices

Published online by Cambridge University Press:  17 April 2009

Wojciech Szymański
Wojciech Szymański
Affiliation:
Department of Mathematics, The University of Newcastle, Callaghan NSW 2308Australia e-mail: wojciech@frey.newcastle.edu.au
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Abstract

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We show that any Cuntz-Krieger algebra A over an infinite 0–1 matrix A may be realised as a Cuntz-Pimsner algebra X for a Hilbert bimodule X over a suitable Abelian C*-algebra with totally disconnected spectrum. Using Pimsner's six-term exact sequence for the KK-groups we calculate the K-groups of A. We also give a description of the corresponding Toeplitz algebra X in terms of generators and relations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 87 - 94
Copyright
Copyright © Australian Mathematical Society 2000

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