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

Katsura, Takeshi

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

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

Author: Takeshi Katsura
Journal: Trans. Amer. Math. Soc. 356 (2004), 4287-4322
MSC (2000): Primary 46L05; Secondary 46L55, 37B99
DOI: https://doi.org/10.1090/S0002-9947-04-03636-0
Published electronically: May 28, 2004
MathSciNet review: 2067120
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Abstract: We introduce a new class of -algebras, which is a generalization of both graph algebras and homeomorphism -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 -groups of our algebras.

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