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

Takeshi Katsura

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arXiv · math/0207252

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

Takeshi Katsura

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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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Takeshi Katsura. 2003-10-24. A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras I, fundamental results. https://arxiv.org/abs/math/0207252

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