Factor Representations of Diffeomorphism Groups
Representation Theory
2007-05-23 v1 Operator Algebras
Abstract
General semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction includes the quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a non-linear form of complete positivity as developed by Arveson. We also compare the asymptotic character formula for the unitary group with the thermodynamic () limit construction for diffeomorphism group representations.
Cite
@article{arxiv.math/0207038,
title = {Factor Representations of Diffeomorphism Groups},
author = {Robert P Boyer},
journal= {arXiv preprint arXiv:math/0207038},
year = {2007}
}