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

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

2002-07-26

arxiv.org/abs/math/0207252v2

Mathematics

Operator Algebras

37 pages, some terminologies changed, for example, C^*-correspondences were called Hilbert C^*-bimodules and topological graph

Scientific paper

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.

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