Groupoids viewed as inverse semigroups
Operator Algebras
2016-05-02 v1 Category Theory
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.
Keywords
Cite
@article{arxiv.1604.08585,
title = {Groupoids viewed as inverse semigroups},
author = {Marat Aukhadiev},
journal= {arXiv preprint arXiv:1604.08585},
year = {2016}
}
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2 pages