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arXiv · 1802.09430

Banach-Lie groupoids and generalized inversion

Daniel Beltiţă·Tomasz Goliński·Grzegorz Jakimowicz·Fernand Pelletier
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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.

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Daniel Beltiţă, Tomasz Goliński, Grzegorz Jakimowicz, Fernand Pelletier. 2018-02-26. Banach-Lie groupoids and generalized inversion. https://doi.org/10.1016/j.jfa.2018.12.002

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