Fundamental group of simple C*-algebras with unique trace II

Norio Nawata, Yasuo Watatani

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    We show that any countable subgroup of the multiplicative group R+× of positive real numbers can be realized as the fundamental group F(A) of a separable simple unital C*-algebra A with unique trace. Furthermore for any fixed countable subgroup G of R+×, there exist uncountably many mutually nonisomorphic such algebras A with G=F(A).

    Original languageEnglish
    Pages (from-to)428-435
    Number of pages8
    JournalJournal of Functional Analysis
    Volume260
    Issue number2
    DOIs
    Publication statusPublished - Jan 15 2011

    All Science Journal Classification (ASJC) codes

    • Analysis

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