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Inductive Limit Toral Automorphisms of Irrational Rotation Algebras

Published online by Cambridge University Press:  20 November 2018

P. J. Stacey
P. J. Stacey*
Affiliation:
Department of Mathematics La Trobe University Bundoora, Victoria 3083 Australia, e-mail: P.Stacey@latrobe.edu.au
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Abstract

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Irrational rotation ${{C}^{*}}$-algebras have an inductive limit decomposition in terms of matrix algebras over the space of continuous functions on the circle and this decomposition can be chosen to be invariant under the flip automorphism. It is shown that the flip is essentially the only toral automorphism with this property.

Keywords

46L4046L35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 3 , 01 September 2001 , pp. 335 - 336
Copyright
Copyright © Canadian Mathematical Society 2001

References

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