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

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          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.

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          Author and article information

          Journal
          15 September 2005
          Article
          math/0509343
          cce302d7-65f6-4cec-99d8-ad7a6e9fe6af
          History
          Custom metadata
          Primary 46L05; Secondary 46L55, 37B99
          28 pages
          math.OA

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