Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-07-03T13:00:02.375Z Has data issue: false hasContentIssue false

An invariant for non-singular isomorphism

Published online by Cambridge University Press:  20 June 2003

GENEVIEVE MORTISS
Affiliation:
School of Mathematics, University of New South Wales, NSW 2052, Australia (e-mail: [email protected])

Abstract

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.

Type
Research Article
Copyright
2003 Cambridge University Press

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.)