Banach-Lie groupoids and generalized inversion
Functional Analysis
2023-03-22 v2 Differential Geometry
Abstract
We study a few basic properties of Banach-Lie groupoids and algebroids, adapting some classical results on finite dimensional Lie groupoids. As an illustration of the general theory, we show that the notion of locally transitive Banach-Lie groupoid sheds fresh light on earlier research on some infinite-dimensional manifolds associated with Banach algebras.
Cite
@article{arxiv.1802.09430,
title = {Banach-Lie groupoids and generalized inversion},
author = {Daniel Beltiţă and Tomasz Goliński and Grzegorz Jakimowicz and Fernand Pelletier},
journal= {arXiv preprint arXiv:1802.09430},
year = {2023}
}
Comments
45 pages, too appear in J. Funct. Anal