Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles

Tim Austin, Mariusz Lemańczyk

Research output: Contribution to journalArticle

Abstract

We show that under some natural ergodicity assumptions, extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only countably many L-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank modules associated to an extension of measure-preserving systems in the setting of a non-singular base.

Original languageEnglish (US)
Pages (from-to)115-131
Number of pages17
JournalJournal of Fixed Point Theory and Applications
Volume6
Issue number1
DOIs
StatePublished - Oct 2009

Fingerprint

Cocycle
Multiplier
Group Extension
Finite Rank
Locally Compact Group
Ergodicity
Analogue
Eigenvalue
Module

Keywords

  • Disjointness
  • Ergodicity
  • Joining
  • Non-singular automorphism
  • Relatively finite measure-preserving extension
  • Rokhlin cocycle

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles. / Austin, Tim; Lemańczyk, Mariusz.

In: Journal of Fixed Point Theory and Applications, Vol. 6, No. 1, 10.2009, p. 115-131.

Research output: Contribution to journalArticle

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