Strange factor representations of type II_1 and pairs of dual dynamical systems

dc.creatorVershik, A.
dc.date2003-02-12
dc.date2004-11-19
dc.date.accessioned2026-07-07T04:55:14Z
dc.date.available2026-07-07T04:55:14Z
dc.descriptionGiven a pair of dynamical systems we consider a pair of commuting von Neumann factors of type 11_1. The construction is a generalization of classical von Neumann-Murrey and grouppoid construction. It gives a natural examples of factors with non-unit coupling constant.As the partial cases we obtain Connes-Riffel-Faddeev examples of the representations of rotation algebra. We give also an example for infinite symmetric group.
dc.descriptionLaTex, 19 pages
dc.identifierhttps://arxiv.org/abs/math/0302141
dc.identifierhttp://arxiv.org/abs/math/0302141
dc.identifierMoscow Math.Journ.No4,(2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66510
dc.subjectOperator Algebras
dc.subject46L35 (primary) 46L55 (Secondary)
dc.titleStrange factor representations of type II_1 and pairs of dual dynamical systems
dc.typetext

Files

Collections