CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Purely infinite, simple $C^\ast$-algebras arising from free product constructions

  Published:1998-04-01
 Printed: Apr 1998
  • Kenneth J. Dykema
  • Mikael Rørdam
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Examples of simple, separable, unital, purely infinite $C^\ast$-algebras are constructed, including: \item{(1)} some that are not approximately divisible; \item{(2)} those that arise as crossed products of any of a certain class of $C^\ast$-algebras by any of a certain class of non-unital endomorphisms; \item{(3)} those that arise as reduced free products of pairs of $C^\ast$-algebras with respect to any from a certain class of states.
MSC Classifications: 46L05, 46L45 show english descriptions General theory of $C^*$-algebras
Decomposition theory for $C^*$-algebras
46L05 - General theory of $C^*$-algebras
46L45 - Decomposition theory for $C^*$-algebras
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/