Regularity properties for ample groupoids and the type semigroup

Abstract: I will introduce the type semigroup of an ample groupoid and explain how it encodes dynamical properties of the groupoid in an algebraic framework. In particular I will explain how the fine structure of the type semigroup relates to certain regularity properties of the groupoid, which play a prominent role in recent attempts to develop a dynamical analogue of the Toms-Winter conjecture for simple separable nuclear C*-algebras.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( video )

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Noncommutative geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click meet.google.com/zjd-ehrs-wtx (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.

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