Groupoids and inverse semigroups associated to W*-algebras

Abstract

We investigate the Banach Lie groupoids and inverse semigroups naturally associated to W*-algebras. We also present statements describing relationship between these groupoids and the Banach Poisson geometry which follows in the canonical way from the W*-algebra structure.

42 pages

Cited by in corpus (4)

• Algebroids associated to the groupoid of partially invertible elements of a $W^{\ast }$-algebra
• Fibre-wise linear Poisson structures related to W*-algebras
• Local quantum information dynamics
• Banach-Lie groupoids and generalized inversion