Purely infinite simple reduced C*-algebras of one-relator separated graphs

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:393

Article

Ara, Pere

关键词: Graph C*-algebra;    Separated graph;    Amalgamated free product;    Purely infinite;    Simple;    Conditional expectation;   

DOI  :  10.1016/j.jmaa.2012.04.014

来源: Elsevier

【 摘 要 】

Given a separated graph (E, C), there are two different C*-algebras associated to it: the full graph C*-algebra C* (E, C) and the reduced one C*(red) (E, C). For a large class of separated graphs (E, C), we prove that C*(red)(E, C) either is purely infinite simple or admits a faithful tracial state. The main tool we use to show pure infiniteness of reduced graph C*-algebras is a generalization to the amalgamated case of a result on purely infinite simple free products due to Dykema. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free