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Fragility of Subhomogeneous C *‐Algebras with One‐Dimensional Spectrum
Author(s) -
Eilers Søren,
Loring Terry A.,
Pedersen Gert K.
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460939800558x
Subject(s) - mathematics , morphism , spectrum (functional analysis) , rank (graph theory) , class (philosophy) , pure mathematics , zero (linguistics) , mathematics subject classification , fragility , algebra over a field , combinatorics , linguistics , philosophy , physics , chemistry , quantum mechanics , artificial intelligence , computer science
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. 1991 Mathematics Subject Classification 46L05.