Inverse semigroup C*-algebras associated with left cancellative semigroups

Details Inverse semigroup C*-algebras associated with left cancellative semigroups Inverse semigroup C*-algebras associated with left cancellative semigroups

2012-02-27

arxiv.org/abs/1202.5977v2

Mathematics

Operator Algebras

31 pages

Scientific paper

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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