Generalized Cuntz-Krieger algebras

Author:
Valentin Deaconu

Journal:
Proc. Amer. Math. Soc. **124** (1996), 3427-3435

MSC (1991):
Primary 46L05, 46L55, 46L80

DOI:
https://doi.org/10.1090/S0002-9939-96-03484-3

MathSciNet review:
1343688

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Abstract: To a special embedding of circle algebras having the same spectrum, we associate an r-discrete, locally compact groupoid, similar to the Cuntz-Krieger groupoid. Its -algebra, denoted , is a continuous version of the Cuntz-Krieger algebras . The algebra is generated by an A**T**-algebra and a nonunitary isometry. We compute its K-theory under the assumption that the A**T**-algebra is simple.

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Additional Information

**Valentin Deaconu**

Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242

Address at time of publication:
Department of Mathematics, Iowa State University, Ames, Iowa 50011

Email:
vdeaconu@pollux.math.iastate.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03484-3

Received by editor(s):
May 15, 1995

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1996
American Mathematical Society