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The C*-algebras of some inverse semigroups

Published online by Cambridge University Press:  17 April 2009

Rachel Hancock  and
Iain Raeburn
Rachel Hancock
Affiliation:
School of Mathematics, University of New South Wales, P.O. Box 1 Kensington NSW 2033, Australia
Iain Raeburn
Affiliation:
School of Mathematics, University of New South Wales, P.O. Box 1 Kensington NSW 2033, Australia
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Abstract

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We discuss the structure of some inverse semigroups and the associated C* algebras. In particular, we study the bicyclic semigroup and the free monogenic inverse semigroup, following earlier work of Conway, Duncan and Paterson. We then associate to each zero-one matrix A an inverse semigroup CA, and show that the C*-algebra OA of Cuntz and Krieger is closely related to the semigroup algebra C*(CA).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 2 , October 1990 , pp. 335 - 348
Copyright
Copyright © Australian Mathematical Society 1990

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