Inverse semigroup C*-algebras associated with left cancellative semigroups

Magnus Dahler Norling

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arXiv · 1202.5977

Inverse semigroup C*-algebras associated with left cancellative semigroups

Magnus Dahler Norling

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Abstract

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

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Magnus Dahler Norling. 2012-02-27. Inverse semigroup C*-algebras associated with left cancellative semigroups. https://arxiv.org/abs/1202.5977

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