Topological groups with rokhlin properties

Eli Glasner, Benjamin Weiss

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

In his classical paper [Ann. of Math. 45 (1944)] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book, Lectures on Ergodic Theory, he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rokhlin. For this reason the name of Rokhlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups. In this paper we will survey some of the new developments in this area.

Original languageEnglish
Pages (from-to)51-80
Number of pages30
JournalColloquium Mathematicum
Volume110
Issue number1
DOIs
StatePublished - 2008

Funding

FundersFunder number
Israel Science Foundation1333/04

    Keywords

    • Cantor group
    • Dense conjugacy class
    • Fraïssé structure
    • Group of homeomorphisms
    • Measure preserving transformation
    • Rokhlin property
    • Weak mixing

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