Journal of Modern Dynamics (JMD)

Generating product systems

Pages: 257 - 270, Issue 2, April 2010      doi:10.3934/jmd.2010.4.257

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Nir Avni - Department of Mathematics, Harvard University, Cambridge MA 02138, United States (email)
Benjamin Weiss - Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel (email)

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:  Slepian-Wolf, generating partition, Krieger's theorem.
Mathematics Subject Classification:  Primary: 28D20, 68P30; Secondary: 60G10, 37A35.

Received: July 2009;      Revised: March 2010;      Available Online: August 2010.