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

Nest Representations of TAF Algebras

  Published:2000-12-01
 Printed: Dec 2000
  • Alan Hopenwasser
  • Justin R. Peters
  • Stephen C. Power
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

A nest representation of a strongly maximal TAF algebra $A$ with diagonal $D$ is a representation $\pi$ for which $\lat \pi(A)$ is totally ordered. We prove that $\ker \pi$ is a meet irreducible ideal if the spectrum of $A$ is totally ordered or if (after an appropriate similarity) the von Neumann algebra $\pi(D)''$ contains an atom.
Keywords: nest representation, meet irreducible ideal, strongly maximal TAF algebra nest representation, meet irreducible ideal, strongly maximal TAF algebra
MSC Classifications: 47L40, 47L35 show english descriptions Limit algebras, subalgebras of $C^*$-algebras
Nest algebras, CSL algebras
47L40 - Limit algebras, subalgebras of $C^*$-algebras
47L35 - Nest algebras, CSL algebras
 

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