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Bimodules for Cuntz-Krieger algebras of infinite matrices
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 2000
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