2 2 A pr 2 00 3 COMPACT OPERATORS AND NEST REPRESENTATIONS OF LIMIT ALGEBRAS ELIAS

  • JUSTIN R. PETERS
  • Published 2003

Abstract

In this paper we study the representations ρ of a strongly maximal TAF algebra A whose ranges contain non-zero compact operators. We introduce a particular class of such representations , the CMI-representations, and we show that their kernels coincide with the completely meet irreducible ideals. From this we deduce that there exist enough contractive… (More)

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