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Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952
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On the K-theory of the C*-algebra associated with a one-sided shift space; pp. 272–279

(Full article in PDF format) doi: 10.3176/proc.2010.4.04


Authors

Toke Meier Carlsen, Sergei Silvestrov

Abstract

One-sided shift spaces are a special kind of non-invertible topological dynamical system with which one can associate a C*-algebra. We show how to construct the C*-algebra associated with a one-sided shift space as the Cuntz–Pimsner C*-algebra of a C*-correspondence and use this to compute its K-theory.

Keywords

operator algebra, symbolic dynamics, C*-algebras, shift spaces, C*-correspondences, Cuntz–Pimsner C*-algebras, K-theory of C*-algebras.

References

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Current Issue: Vol. 68, Issue 4, 2019




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December