Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-28T02:30:33.177Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)