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THE K-THEORY OF SOME HIGHER RANK EXEL–LACA ALGEBRAS

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  01 February 2008

BERNHARD BURGSTALLER
BERNHARD BURGSTALLER*
Affiliation:
Institute of Mathematics, University of Münster, Einsteinstrasse 62, 48149 Münster, Germany (email: bernhardburgstaller@yahoo.de)
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Abstract

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Let be a higher rank Exel–Laca algebra generated by an alphabet . If contains d commuting isometries corresponding to rank d and the transition matrices do not have finite rows, then is trivial and is isomorphic to K0 of the abelian subalgebra of generated by the source projections of .

Keywords

K-theoryExel–Laca algebragraph algebrahigher rank

MSC classification

Secondary: 46L80: $K$-theory and operator algebras (including cyclic theory) 46L55: Noncommutative dynamical systems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 21 - 38
Copyright
Copyright © 2008 Australian Mathematical Society

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