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

Norio Nawata; Yasuo Watatani

doi:10.1016/j.jfa.2010.09.014

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

Norio Nawata, Yasuo Watatani

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	428-435
Number of pages	8
Journal	Journal of Functional Analysis
Volume	260
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2010.09.014
Publication status	Published - Jan 15 2011

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2010.09.014

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title = "Fundamental group of simple C*-algebras with unique trace II",

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).",

author = "Norio Nawata and Yasuo Watatani",

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AB - 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).

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JO - Journal of Functional Analysis

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

Abstract

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