XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Bartosz Kwaśniewski

Stone duality and quasi-orbit spaces for C*-inclusions

We define and analyze quasi-orbit space and a quasi-orbit map for a general C*-inclusion. This is done by exploiting duality between sober spaces and spacial locales, as well as the Galois connection between restriction and induction ideals. The results apply to cross section C*-algebras of Fell bundles over locally compact groups, regular C*-inclusions, tensor products, relative Cuntz-Pimsner algebras, and crossed products for actions of locally compact Hausdorff groupoids and quantum groups. (Based on joint work with Ralf Meyer)

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University of Bialystok

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