Representing Kirchberg algebras as inverse semigroup crossed products

dc.contributor.author	Exel, Ruy
dc.contributor.author	Pardo Espino, Enrique
dc.contributor.other	Matemáticas	en_US
dc.date.accessioned	2014-04-08T10:26:50Z
dc.date.available	2014-04-08T10:26:50Z
dc.date.issued	2013-04-23T00:00:00Z
dc.identifier.uri	http://hdl.handle.net/10498/16082
dc.description.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.	en_US
dc.format	application/pdf
dc.language.iso	eng	en_US
dc.publisher	http://arxiv.org/abs/1303.6268v2	en_US
dc.rights	info:eu-repo/semantics/openAccess
dc.title	Representing Kirchberg algebras as inverse semigroup crossed products	en_US
dc.type	journal article	en_US
dc.rights.accessRights	open access