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Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism

Published online by Cambridge University Press:  20 November 2018

Klaus Thomsen
Klaus Thomsen*
Affiliation:
Institut for matematiske fag, Ny Munkegade, 8000 Aarhus C, Denmark e-mail: matkt@imf.au.dk
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Abstract

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It is shown that simplicity of the crossed product of a unital $\text{AH}$-algebra with slow dimension growth by an endomorphism implies that the algebra is also purely infinite, provided only that the endomorphism leaves no trace state invariant and takes the unit to a full projection.

Keywords

46-xxpurely infinite C*-algebrascrossed products
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 3 , 01 June 2012 , pp. 705 - 720
Copyright
Copyright © Canadian Mathematical Society 2012

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