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Representing Kirchberg algebras as inverse semigroup crossed products (1303.6268v2)
Published 25 Mar 2013 in math.OA and math.DS
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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