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Noncommutative Geometry and Topology in Prague
Cartan subalgebras in C*-algebras and von Neumann algebras
Speaker’s name:
Jean Renault
Speaker’s affiliation:
University of Orléans
Place:
This talk will take place in the blue seminar room, back building, Žitná 25.
It will also be broadcast on Zoom:
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
It will also be broadcast on Zoom:
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
Date:
Tuesday, 18. October 2022 - 16:00 to 17:00
Abstract:
A generalization of the classical group measure space construction associates a von Neumann algebra to a measured groupoid. In 1977, J. Feldman and C. Moore characterized the von Neumann algebra constructed from a countable measured equivalence relation by the existence of a Cartan subalgebra. Analogous results exist in the framework of topological groupoids and C*-algebras. I will review these results and later developments, putting the emphasis on the notion of twisted inverse semigroup.