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C*-ALGEBRAS CHARACTERIZED BY ERGODIC ACTIONS OF THE n-TORUS
Published online by Cambridge University Press: 01 July 2000
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.
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- © The London Mathematical Society 2000
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