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

Katsura, Takeshi

doi:10.1090/S0002-9947-04-03636-0

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

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