RT journal article T1 Representing Kirchberg algebras as inverse semigroup crossed products A1 Exel, Ruy A1 Pardo Espino, Enrique A2 Matemáticas AB In this note we show that a combinatorial model of Kirchberg algebras in theUCT, namely the Katsura algebrasOA,B, can be expressed both as groupoidC∗-algebras andas inverse semigroup crossed products. We use this picture to obtain results about simplicity,pure infiniteness and nuclearity ofOA,Busing different methods than those used by Katsura. PB http://arxiv.org/abs/1303.6268v2 YR 2013 FD 2013-04-23T00:00:00Z LK http://hdl.handle.net/10498/16082 UL http://hdl.handle.net/10498/16082 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 14-nov-2026