CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publications → journals → CJM
Abstract view

Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism
  Published:2011-10-22
 Printed: Jun 2012
Canadian Journal of Mathematics
  • Klaus Thomsen,
    Institut for matematiske fag, Ny Munkegade, 8000 Aarhus C, Denmark
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   LaTeX   MathJax   PDF  

Abstract

It is shown that simplicity of the crossed product of a unital 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: purely infinite $C^*$-algebras, crossed products purely infinite $C^*$-algebras, crossed products
MSC Classifications: 46-xx show english descriptions unknown classification 46-xx 46-xx - unknown classification 46-xx
 
© Canadian Mathematical Society, 2013 : http://www.cms.math.ca/