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Purely Infinite C-Algebras Arising From Crossed Products, Mikael Rordam, Adam Sierakowski
Purely Infinite C-Algebras Arising From Crossed Products, Mikael Rordam, Adam Sierakowski
Faculty of Engineering and Information Sciences - Papers: Part A
We study conditions that will ensure that a crossed product of a C-algebra by a discrete exact group is purely infinite (simple or non-simple). We are particularly interested in the case of a discrete non-amenable exact group acting on a commutative C-algebra, where our sufficient conditions can be phrased in terms of paradoxicality of subsets of the spectrum of the abelian C-algebra. As an application of our results we show that every discrete countable non-amenable exact group admits a free amenable minimal action on the Cantor set such that the corresponding crossed product C-algebra is a Kirchberg algebra in the …