Entropy theory for cross-sections

Nir Avni*

*Corresponding author for this work

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We define the notion of entropy for a cross-section of an action of continuous amenable group, and relate it to the entropy of the ambient action. As a result, we are able to answer a question of J. P. Thouvenot about completely positive entropy actions.

Original languageEnglish (US)
Pages (from-to)1515-1538
Number of pages24
JournalGeometric and Functional Analysis
Volume19
Issue number6
DOIs
StatePublished - Mar 1 2010

Fingerprint

Cross section
Entropy
Amenable Group

Keywords

  • Amenable groups
  • Completely positive entropy
  • Cross-sections
  • Kolmogorov system
  • Ornstein-Weiss entropy

ASJC Scopus subject areas

  • Geometry and Topology
  • Analysis

Cite this

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abstract = "We define the notion of entropy for a cross-section of an action of continuous amenable group, and relate it to the entropy of the ambient action. As a result, we are able to answer a question of J. P. Thouvenot about completely positive entropy actions.",
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Entropy theory for cross-sections. / Avni, Nir.

In: Geometric and Functional Analysis, Vol. 19, No. 6, 01.03.2010, p. 1515-1538.

Research output: Contribution to journalArticle

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PY - 2010/3/1

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