Spectral and mixing properties of actions of amenable groups

Nir Avni*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We generalize two theorems about K-automorphisms from ℤ to all amenable groups with good entropy theory (this class includes all unimodular amenable groups which are not an increasing union of compact subgroups). The first theorem is that such actions are uniformly mixing; the second is that their spectrum is Lebesgue with countable multiplicity. For the proof we will develop an entropy theory for discrete amenable equivalence relations.

Original languageEnglish (US)
Pages (from-to)57-63
Number of pages7
JournalElectronic Research Announcements of the American Mathematical Society
Volume11
Issue number7
DOIs
StatePublished - Jun 10 2005

ASJC Scopus subject areas

  • Mathematics(all)

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