Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-30T19:52:59.529Z Has data issue: false hasContentIssue false
  • English
  • Français

FRAGILITY OF SUBHOMOGENEOUS C*-ALGEBRAS WITH ONE-DIMENSIONAL SPECTRUM

Published online by Cambridge University Press:  01 May 1999

SØREN EILERS ,
TERRY A. LORING  and
GERT K. PEDERSEN
SØREN EILERS
Affiliation:
Institut for Matematiske Fag, Københavns Universitet, Universitetsparken 5, 2100 Copenhagen Ø, Denmark
TERRY A. LORING
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA
GERT K. PEDERSEN
Affiliation:
Institut for Matematiske Fag, Københavns Universitet, Universitetsparken 5, 2100 Copenhagen Ø, Denmark
Get access

Abstract

We prove that a large and natural class of subhomogeneous C*-algebras with one-dimensional spectrum have the fragility property, that is, every morphism out of such a C*-algebra and into a C*-algebra of real rank zero can be approximated by a morphism with finite-dimensional range, provided that a K-theoretical obstruction vanishes.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 3 , May 1999 , pp. 337 - 344
Copyright
© The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)