Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 95, Issue -, Pages 108-126Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.geomphys.2015.05.003
Keywords
Banach Lie groupoids; Banach Lie algebroids; W*-algebra
Categories
Ask authors/readers for more resources
In the paper we study the algebroid A(m) of the groupoid g(m) paired right arrows L(m) of partially invertible elements over the lattice L(m) of orthogonal projections of a W*-algebra m. In particular the complex Banach manifold structure of these objects is investigated. The expressions on the algebroid Lie brackets for A(m) and related algebroids are given in noncommutative operator coordinates in the explicit way. We also describe structure of the groupoid of partial isometries u(m) paired right arrows L(m) and the frame groupoid g(lin)A(p0)(m) paired right arrows L-p0(m) as well as their algebroids. (C) 2015 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available