Purely infinite C*-algebras arising from crossed products

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Standard

Purely infinite C*-algebras arising from crossed products. / Rørdam, Mikael; Sierakowski, Adam.

I: Ergodic Theory and Dynamical Systems, Bind 32, 2012, s. 273-293.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Rørdam, M & Sierakowski, A 2012, 'Purely infinite C*-algebras arising from crossed products', Ergodic Theory and Dynamical Systems, bind 32, s. 273-293.

APA

Rørdam, M., & Sierakowski, A. (2012). Purely infinite C*-algebras arising from crossed products. Ergodic Theory and Dynamical Systems, 32, 273-293.

Vancouver

Rørdam M, Sierakowski A. Purely infinite C*-algebras arising from crossed products. Ergodic Theory and Dynamical Systems. 2012;32:273-293.

Author

Rørdam, Mikael ; Sierakowski, Adam. / Purely infinite C*-algebras arising from crossed products. I: Ergodic Theory and Dynamical Systems. 2012 ; Bind 32. s. 273-293.

Bibtex

@article{1f5f1fd0e35411dfb6d2000ea68e967b,
title = "Purely infinite C*-algebras arising from crossed products",
abstract = "We study conditions that will ensure that a crossed productof a C-algebra by a discrete exact group is purely innite (simple ornon-simple). We are particularly interested in the case of a discrete nonamenableexact group acting on a commutative C-algebra, where oursucient conditions can be phrased in terms of paradoxicality of subsetsof the spectrum of the abelian C-algebra.As an application of our results we show that every discrete countablenon-amenable exact group admits a free amenable minimal action on theCantor set such that the corresponding crossed product C-algebra is aKirchberg algebra in the UCT class.",
author = "Mikael R{\o}rdam and Adam Sierakowski",
year = "2012",
language = "English",
volume = "32",
pages = "273--293",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - Purely infinite C*-algebras arising from crossed products

AU - Rørdam, Mikael

AU - Sierakowski, Adam

PY - 2012

Y1 - 2012

N2 - We study conditions that will ensure that a crossed productof a C-algebra by a discrete exact group is purely innite (simple ornon-simple). We are particularly interested in the case of a discrete nonamenableexact group acting on a commutative C-algebra, where oursucient conditions can be phrased in terms of paradoxicality of subsetsof the spectrum of the abelian C-algebra.As an application of our results we show that every discrete countablenon-amenable exact group admits a free amenable minimal action on theCantor set such that the corresponding crossed product C-algebra is aKirchberg algebra in the UCT class.

AB - We study conditions that will ensure that a crossed productof a C-algebra by a discrete exact group is purely innite (simple ornon-simple). We are particularly interested in the case of a discrete nonamenableexact group acting on a commutative C-algebra, where oursucient conditions can be phrased in terms of paradoxicality of subsetsof the spectrum of the abelian C-algebra.As an application of our results we show that every discrete countablenon-amenable exact group admits a free amenable minimal action on theCantor set such that the corresponding crossed product C-algebra is aKirchberg algebra in the UCT class.

M3 - Journal article

VL - 32

SP - 273

EP - 293

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

ER -

ID: 22796693