A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras I, fundamental results

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96 Citations (Scopus)

Abstract

We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.

Original languageEnglish
Pages (from-to)4287-4322
Number of pages36
JournalTransactions of the American Mathematical Society
Volume356
Issue number11
DOIs
Publication statusPublished - 2004 Nov 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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