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Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups

Published online by Cambridge University Press:  17 March 2014

Magnus Dahler Norling
Magnus Dahler Norling*
Affiliation:
Department of Mathematics, University of Oslo, Moltke Moes vei 35, 0851 Oslo, Norway, ([email protected])
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Abstract

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To each discrete left cancellative semigroup S one may associate an inverse semigroup Il(S), often called the left inverse hull of S. We show how the full and reduced C*-algebras of Il(S) are related to the full and reduced semigroup C*-algebras for S, recently introduced by Li, and give conditions ensuring that these algebras are isomorphic. Our picture provides an enhanced understanding of Li's algebras.

Keywords

C*-algebraleft cancellative semigroupinverse semigroupamenabilityPrimary 46L05Secondary 20M1820M9943A0706A12
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 2 , June 2014 , pp. 533 - 564
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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