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The crossed product of a UHF algebra by a shift

Published online by Cambridge University Press:  19 September 2008

Ola Bratteli ,
Erling Størmer ,
Akitaka Kishimoto  and
Mikael Rørdam
Ola Bratteli
Affiliation:
Department of Mathematics, University of Oslo, PO Box 1053 Blindern, N-0316 Oslo, Norway
Erling Størmer
Affiliation:
Department of Mathematics, University of Oslo, PO Box 1053 Blindern, N-0316 Oslo, Norway
Akitaka Kishimoto
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo, 060 Japan
Mikael Rørdam
Affiliation:
Department of Mathematics and Computer Science, Odense University, DK-5230 Odense M, Denmark
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Abstract

We prove that the crossed product of the CAR algebra M2∞ by the shift is an inductive limit of homogeneous algebras over the circle with fibres full matrix algebras. As a consequence the crossed product has real rank zero, and where is the Cuntz algebra of order 2.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 4 , December 1993 , pp. 615 - 626
Copyright
Copyright © Cambridge University Press 1993

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References

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