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C*-ALGEBRAS CHARACTERIZED BY ERGODIC ACTIONS OF THE n-TORUS

Published online by Cambridge University Press:  01 July 2000

PAUL MILNES  and
SAMUEL WALTERS
PAUL MILNES
Affiliation:
Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada
SAMUEL WALTERS
Affiliation:
Department of Mathematics and Computer Science, University of Northern British Columbia, Prince George, British Columbia V2N 4Z9, Canada
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Abstract

Using basic harmonic analysis on the n-torus, it is shown that the non-commutative n-tori are the only primitive C*-algebras (up to isomorphism) on which the n-torus [ ]n acts freely and ergodically. An explicit construction recovers the generating unitaries in a natural way from the action.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 4 , July 2000 , pp. 465 - 470
Copyright
© The London Mathematical Society 2000

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