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arXiv · 1703.01134

Fibre-wise linear Poisson structures related to W*-algebras

Anatol Odzijewicz·Grzegorz Jakimowicz·Aneta Sliżewska
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Abstract

In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these structures are arranged in the short exact sequence of complex Banach sub-Poisson VB-groupoids with the groupoid of partially invertible elements of M as the side groupoid.

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BibTeXRIS

Anatol Odzijewicz, Grzegorz Jakimowicz, Aneta Sliżewska. 2017-03-03. Fibre-wise linear Poisson structures related to W*-algebras. https://doi.org/10.1016/j.geomphys.2017.09.012

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