Naturality and Induced Representations
Operator Algebras
2007-05-23 v1
Abstract
We show that induction of covariant representations for C*-dynamical systems is natural in the sense that it gives a natural transformation between certain crossed-product functors. This involves setting up suitable categories of C*-algebras and dynamical systems, and extending the usual constructions of crossed products to define the appropriate functors. From this point of view, Green's Imprimitivity Theorem identifies the functors for which induction is a natural equivalence. Various spcecial cases of these results have previously been obtained on an ad hoc basis.
Cite
@article{arxiv.math/0002039,
title = {Naturality and Induced Representations},
author = {Siegfried Echterhoff and S. Kaliszewski and John Quigg and Iain Raeburn},
journal= {arXiv preprint arXiv:math/0002039},
year = {2007}
}
Comments
LaTeX-2e, 24 pages, uses package pb-diagram