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BANACH ALGEBRAS CONSTRUCTED FROM GROUPOIDS
- Speaker(s)
- ANDREW MCKEE
- Affiliation
- Uniwersytet w Białymstoku, Poland
- Date
- Feb. 28, 2024, 5:15 p.m.
- Information about the event
- 405 IMPAN & ZOOM
- Seminar
- North Atlantic Noncommutative Geometry Seminar
I will explain recent joint work with K. Bardadyn and B. Kwaśniewski associating Banach algebras to (twisted) groupoids. After showing the construction, I will try to demonstrate that these objects are interesting by answering several questions. Firstly, what is the connection between the representation theory of the groupoid Banach algebra and that of the inverse semigroup action underlying the groupoid? Secondly, how does our construction relate to existing constructions, such as groupoid L^p-operator algebras? Thirdly, I will investigate the question of when our groupoid Banach algebras are simple.
