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An action of the Klein four-group on the irrational rotation C*-algebra

Published online by Cambridge University Press:  17 April 2009

P.J. Stacey
P.J. Stacey
Affiliation:
School of MathematicsLa Trobe UniversityBundoora Vic 3083Australia e-mail: [email protected]
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Abstract

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Explicit automorphisms of the irrational rotation algebra are constructed which are associated with the two 2 × 2 diagonal integer matrices of determinant −1. The fixed point algebra of the product of these two automorphisms is shown to be isomorphic to the fixed point algebra of the flip.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 135 - 148
Copyright
Copyright © Australian Mathematical Society 1997

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