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arxiv: 1110.6305 · v2 · pith:AXFHY2BJnew · submitted 2011-10-28 · 🧮 math.OA · math.DG· math.GR

Groupoids and inverse semigroups associated to W*-algebras

classification 🧮 math.OA math.DGmath.GR
keywords groupoidsalgebrasassociatedbanachinversesemigroupsalgebracanonical
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We investigate the Banach Lie groupoids and inverse semigroups naturally associated to W*-algebras. We also present statements describing relationship between these groupoids and the Banach Poisson geometry which follows in the canonical way from the W*-algebra structure.

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