Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Generalized Cuntz-Krieger algebras

Author: Valentin Deaconu
Journal: Proc. Amer. Math. Soc. 124 (1996), 3427-3435
MSC (1991): Primary 46L05, 46L55, 46L80
MathSciNet review: 1343688
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Abstract: To a special embedding $\Phi $ of circle algebras having the same spectrum, we associate an r-discrete, locally compact groupoid, similar to the Cuntz-Krieger groupoid. Its $\mathbf {C}^*$-algebra, denoted $\mathcal {O}_{\Phi }$, is a continuous version of the Cuntz-Krieger algebras $\mathcal {O}_A$. The algebra $\mathcal {O}_{\Phi }$ is generated by an AT-algebra and a nonunitary isometry. We compute its K-theory under the assumption that the AT-algebra is simple.

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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

Received by editor(s): May 15, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society