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An invariant for non-singular isomorphism

Published online by Cambridge University Press:  20 June 2003

GENEVIEVE MORTISS
GENEVIEVE MORTISS
Affiliation:
School of Mathematics, University of New South Wales, NSW 2052, Australia (e-mail: mortiss@maths.unsw.edu.au)
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Abstract

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A dimension invariant for isomorphism of non-singular ergodic integer actions is presented. A result analogous to Shannon's Theorem is used to calculate the critical dimension of type III odometer actions. It is shown that the dimension is non-trivial and that it is not an invariant of orbit equivalence.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 3 , June 2003 , pp. 885 - 893
Copyright
2003 Cambridge University Press