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arXiv · 1201.4620

Cuntz-Li relations, Inverse semigroups and Groupoids

S. Sundar
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Abstract

In this paper we show that the universal C*-algebra satisfying the Cuntz-Li relations is generated by an inverse semigroup of partial isometries. We apply Exel's theory of tight representations to this inverse semigroup. We identify the universal C*-algebra as the C*-algebra of the tight groupoid associated to the inverse semigroup.

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S. Sundar. 2012-03-30. Cuntz-Li relations, Inverse semigroups and Groupoids. https://arxiv.org/abs/1201.4620

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