Purely infinite corona algebras of simple C*-algebras with real rank zero

Dan Kucerovsky; Francesc Perera

Purely infinite corona algebras of simple C*-algebras with real rank zero

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In this paper we explore conditions on simple non-unital C*-algebras with real rank zero and stable rank one under which their corona algebras are purely infinite and not necessarily simple. In particular, our results allow to characterize when the corona algebra of a simple AF-algebra is purely infinite in terms of continuity conditions on its scale. © THETA, 2011.

Idioma original	Anglès
Pàgines (de-a)	131-144
Revista	Journal of Operator Theory
Volum	65
Número	1
Estat de la publicació	Publicada - 1 de des. 2011

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https://www.scopus.com/pages/publications/78751555665

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title = "Purely infinite corona algebras of simple C*-algebras with real rank zero",

abstract = "In this paper we explore conditions on simple non-unital C*-algebras with real rank zero and stable rank one under which their corona algebras are purely infinite and not necessarily simple. In particular, our results allow to characterize when the corona algebra of a simple AF-algebra is purely infinite in terms of continuity conditions on its scale. {\textcopyright} THETA, 2011.",

keywords = "Corona algebras, Purely infinite C*-algebras, Scales in C*-algebras",

author = "Dan Kucerovsky and Francesc Perera",

year = "2011",

month = dec,

day = "1",

language = "English",

volume = "65",

pages = "131--144",

journal = "Journal of Operator Theory",

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TY - JOUR

T1 - Purely infinite corona algebras of simple C*-algebras with real rank zero

AU - Kucerovsky, Dan

AU - Perera, Francesc

PY - 2011/12/1

Y1 - 2011/12/1

N2 - In this paper we explore conditions on simple non-unital C*-algebras with real rank zero and stable rank one under which their corona algebras are purely infinite and not necessarily simple. In particular, our results allow to characterize when the corona algebra of a simple AF-algebra is purely infinite in terms of continuity conditions on its scale. © THETA, 2011.

AB - In this paper we explore conditions on simple non-unital C*-algebras with real rank zero and stable rank one under which their corona algebras are purely infinite and not necessarily simple. In particular, our results allow to characterize when the corona algebra of a simple AF-algebra is purely infinite in terms of continuity conditions on its scale. © THETA, 2011.

KW - Corona algebras

KW - Purely infinite C-algebras

KW - Scales in C-algebras

UR - https://www.scopus.com/pages/publications/78751555665

M3 - Article

SN - 0379-4024

VL - 65

SP - 131

EP - 144

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 1

ER -

Purely infinite corona algebras of simple C*-algebras with real rank zero

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