Fundamental group of simple C*-algebras with unique trace

Norio Nawata, Yasuo Watatani

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8 Citations (Scopus)

Abstract

We introduce the fundamental group F(A) of a unital simple C*-algebra A with a unique normalized trace. We compute fundamental groups F(A) of several nuclear or non-nuclear C*-algebras A. K-theoretical obstruction enables us to compute the fundamental group easily. Our study is essentially based on the computation of Picard groups by Kodaka.

Original languageEnglish
Pages (from-to)307-318
Number of pages12
JournalAdvances in Mathematics
Volume225
Issue number1
DOIs
Publication statusPublished - Sep 1 2010

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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