Fibre-wise linear Poisson structures related to W*-algebras
Differential Geometry
2018-03-14 v1 Mathematical Physics
math.MP
Abstract
In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these structures are arranged in the short exact sequence of complex Banach sub-Poisson VB-groupoids with the groupoid of partially invertible elements of M as the side groupoid.
Cite
@article{arxiv.1703.01134,
title = {Fibre-wise linear Poisson structures related to W*-algebras},
author = {Anatol Odzijewicz and Grzegorz Jakimowicz and Aneta Sliżewska},
journal= {arXiv preprint arXiv:1703.01134},
year = {2018}
}
Comments
52 pages