Fundamental group of simple C*-algebras with unique trace

Norio Nawata; Yasuo Watatani

doi:10.1016/j.aim.2010.02.019

Fundamental group of simple C*-algebras with unique trace

Norio Nawata, Yasuo Watatani

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	307-318
Number of pages	12
Journal	Advances in Mathematics
Volume	225
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2010.02.019
Publication status	Published - Sept 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/j.aim.2010.02.019

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

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.",

author = "Norio Nawata and Yasuo Watatani",

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AB - 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.

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JO - Advances in Mathematics

JF - Advances in Mathematics

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Fundamental group of simple C*-algebras with unique trace

Abstract

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