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

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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Additional Information

**Takeshi Katsura**

Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153-8914, Japan

Address at time of publication:
Department of Mathematics, Hokkaido University, Sapporo, Hokkaido 060-0810, Japan

Email:
katsura@math.sci.hokudai.ac.jp

DOI:
https://doi.org/10.1090/S0002-9947-04-03636-0

Received by editor(s):
October 1, 2002

Published electronically:
May 28, 2004

Article copyright:
© Copyright 2004
American Mathematical Society