Fibre-wise linear Poisson structures related to W*-algebras
arXiv:1703.01134 · doi:10.1016/j.geomphys.2017.09.012
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.
52 pages