SMS scnews item created by Catherine Meister at Tue 16 Sep 2025 1343
Type: Seminar
Distribution: World
Expiry: 14 Oct 2025
Calendar1: 25 Sep 2025
CalLoc1: SMRI Seminar Room (A12 Macleay Room 301)
CalTitle1: SMRI Seminar, 'and back again: groupoids and $C^*$-algebras'
Auth: cmeister@ac02gr132pn7c.shared.sydney.edu.au (cmei0631) in SMS-SAML

SMRI Seminar: Sims

There and back again: groupoids and $C^*$-algebras


Aidan Sims, University of New South Wales


SMRI Seminar, 25th September 2025


1 pm – 2 pm, SMRI Seminar Room (A12 Macleay Room 301)


Abstract: Whatever $C^*$-algebras are, what they do is 'linearise' topological and dynamical data a la representation theory. The problem is that while every $C^*$-algebra can in principle be realised as a collection of linear operators on Hilbert space, this has, in general, the same sort of descriptive power as the observation that every group can, in principle, be realised as a group of permutations---and for the same reason: the set of which it is a group of permutations is...itself. Groupoids provide a means of ``seeing'' a coordinate system in a $C^*$-algebra. I'll try to outline how, and why this might be useful.

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