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arXiv · 1604.08585

Groupoids viewed as inverse semigroups

Marat Aukhadiev
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Abstract

A simple observation, showing that every groupoid becomes an inverse semigroup after adding one element. In such inverse semigroups all idempotents are mutually orthogonal. This fact implies that every C*-algebra of a discrete groupoid is a C*-algebra of an inverse semigroup.

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Marat Aukhadiev. 2016-04-28. Groupoids viewed as inverse semigroups. https://arxiv.org/abs/1604.08585

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