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Inductive Limit Toral Automorphisms of Irrational Rotation Algebras

Published online by Cambridge University Press:  20 November 2018

P. J. Stacey*
Affiliation:
Department of Mathematics La Trobe University Bundoora, Victoria 3083 Australia, e-mail: [email protected]
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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

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2001

References

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