@misc{10498/16082, year = {2013}, month = {4}, url = {http://hdl.handle.net/10498/16082}, abstract = {In this note we show that a combinatorial model of Kirchberg algebr as in the UCT, namely the Katsura algebras O A,B , can be expressed both as groupoid C ∗ -algebras and as inverse semigroup crossed products. We use this picture to obt ain results about simplicity, pure infiniteness and nuclearity of O A,B using different methods than those used by Katsura.}, publisher = {http://arxiv.org/abs/1303.6268v2}, title = {Representing Kirchberg algebras as inverse semigroup crossed products}, author = {Exel, Ruy and Pardo Espino, Enrique}, }