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arXiv · 1303.6268

Representing Kirchberg algebras as inverse semigroup crossed products

Ruy Exel·Enrique Pardo
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Abstract

In this note we show that a combinatorial model of Kirchberg algebras in the UCT, namely the Katsura algebras O_{AB}, can be expressed both as groupoid C*-algebras and as inverse semigroup crossed products. We use this picture to obtain results about simplicity, pure infiniteness and nuclearity of O_{AB} using different methods than those used by Katsura.

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Ruy Exel, Enrique Pardo. 2013-04-23. Representing Kirchberg algebras as inverse semigroup crossed products. https://arxiv.org/abs/1303.6268

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