Simultaneous lifting from irreducible representations of C*-algebras

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Abstract

Given a sequence (pi(n)) of irreducible representations of a liminal C*-algebra A, and a sequence (b(n)) of trace class operators with b(n) is an element of pi(n)(A), we investigate necessary conditions and sufficient conditions for the existence of a simultaneous lifting a is an element of A such that, for each n, the trace of sigma(a) is bounded for irreducible representations sigma in a neighbourhood of pi(n).

Original languageEnglish
Pages (from-to)195-204
Number of pages9
JournalGlasgow Mathematical Journal
Volume47
Issue number1
DOIs
Publication statusPublished - 2005

Keywords

  • LOWER MULTIPLICITY

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