Strange factor representations of type II_1 and pairs of dual dynamical systems
Operator Algebras
2007-05-23 v2
Abstract
Given 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.
Keywords
Cite
@article{arxiv.math/0302141,
title = {Strange factor representations of type II_1 and pairs of dual dynamical systems},
author = {A. Vershik},
journal= {arXiv preprint arXiv:math/0302141},
year = {2007}
}
Comments
LaTex, 19 pages