Fundamental group of simple $C^*$-algebras with unique trace

Norio Nawata; Yasuo Watatani

Fundamental group of simple $C^*$-algebras with unique trace

Operator Algebras 2009-04-08 v1 Functional Analysis

Authors: Norio Nawata , Yasuo Watatani

Abstract

We introduce the fundamental group ${\mathcal F}(A)$ of a unital simple $C^*$ -algebra $A$ with a unique normalized trace. We compute fundamental groups ${\mathcal F}(A)$ 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.

Keywords

fundamental group simple C*-algebra unique trace Picard group K-theory

Cite

@article{arxiv.0904.1081,
  title  = {Fundamental group of simple $C^*$-algebras with unique trace},
  author = {Norio Nawata and Yasuo Watatani},
  journal= {arXiv preprint arXiv:0904.1081},
  year   = {2009}
}

Comments

11 pages

Related papers

View all related →