Generating product systems

Nir Avni*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given subalgebra, and also required to have a fixed size.

Original languageEnglish (US)
Pages (from-to)257-270
Number of pages14
JournalJournal of Modern Dynamics
Volume4
Issue number2
DOIs
StatePublished - Apr 1 2010

Fingerprint

Product Systems
Subalgebra
Partition
Theorem

Keywords

  • Generating partition
  • Krieger's theorem
  • Slepian-wolf

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Applied Mathematics

Cite this

Avni, Nir ; Weiss, Benjamin. / Generating product systems. In: Journal of Modern Dynamics. 2010 ; Vol. 4, No. 2. pp. 257-270.
@article{fe99d3d5dc3d46bf9a52a0b42178e40a,
title = "Generating product systems",
abstract = "Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given subalgebra, and also required to have a fixed size.",
keywords = "Generating partition, Krieger's theorem, Slepian-wolf",
author = "Nir Avni and Benjamin Weiss",
year = "2010",
month = "4",
day = "1",
doi = "10.3934/jmd.2010.4.257",
language = "English (US)",
volume = "4",
pages = "257--270",
journal = "Journal of Modern Dynamics",
issn = "1930-5311",
publisher = "American Institute of Mathematical Sciences",
number = "2",

}

Generating product systems. / Avni, Nir; Weiss, Benjamin.

In: Journal of Modern Dynamics, Vol. 4, No. 2, 01.04.2010, p. 257-270.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Generating product systems

AU - Avni, Nir

AU - Weiss, Benjamin

PY - 2010/4/1

Y1 - 2010/4/1

N2 - Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given subalgebra, and also required to have a fixed size.

AB - Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given subalgebra, and also required to have a fixed size.

KW - Generating partition

KW - Krieger's theorem

KW - Slepian-wolf

UR - http://www.scopus.com/inward/record.url?scp=77957044928&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957044928&partnerID=8YFLogxK

U2 - 10.3934/jmd.2010.4.257

DO - 10.3934/jmd.2010.4.257

M3 - Article

VL - 4

SP - 257

EP - 270

JO - Journal of Modern Dynamics

JF - Journal of Modern Dynamics

SN - 1930-5311

IS - 2

ER -