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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
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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

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