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left cancellative semigroup

Proceedings of the Edinburgh Mathematical Society (1)

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Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups
Magnus Dahler Norling
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 2 / June 2014

Published online by Cambridge University Press:

17 March 2014, pp. 533-564
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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.