期刊
JOURNAL OF GEOMETRY AND PHYSICS
卷 95, 期 -, 页码 108-126出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.geomphys.2015.05.003
关键词
Banach Lie groupoids; Banach Lie algebroids; W*-algebra
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据