Groupoids and inverse semigroups associated to W*-algebras

Mathematics – Operator Algebras

Scientific paper

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42 pages

Scientific paper

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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