A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras IV, pure infiniteness

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

This is the final one in the series of papers where we introduce and study the C*-algebras associated with topological graphs. In this paper, we get a sufficient condition on topological graphs so that the associated C*-algebras are simple and purely infinite. Using this result, we give one method to construct all Kirchberg algebras as C*-algebras associated with topological graphs.

Original languageEnglish
Pages (from-to)1161-1187
Number of pages27
JournalJournal of Functional Analysis
Volume254
Issue number5
DOIs
Publication statusPublished - 2008 Mar 1
Externally publishedYes

Fingerprint

Graph Algebra
Topological Graph
Homeomorphism
C*-algebra
Algebra
Series
Sufficient Conditions
Class

Keywords

  • C-algebra
  • Dynamical system
  • Graph algebra
  • Homeomorphism C-algebra
  • K-theory
  • Kirchberg algebra
  • Purely infinite
  • Topological graph

ASJC Scopus subject areas

  • Analysis

Cite this

A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras IV, pure infiniteness. / Katsura, Takeshi.

In: Journal of Functional Analysis, Vol. 254, No. 5, 01.03.2008, p. 1161-1187.

Research output: Contribution to journalArticle

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