Cuntz-Li relations, Inverse semigroups and Groupoids

Published 23 Jan 2012 in math.OA | (1201.4620v2)

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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Authors (1)

S. Sundar

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