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"Operator Algebras
and Analytic Group Theory"
Date: 
Downloadfiles: 
Time: 
Wednesday, 28 Sept 2022 
VideoRecording for any system with MP4support  Video.mp4 (ca. 407 Mb) 
15:15 – 16:20

SMC
Colloquium lecture
Matthew Kennedy
(University of Waterloo, KAW guest professor at SU)
Abstract:
Since the work of von Neumann, the theory
of operator algebras has been
inextricably linked to the theory of
groups. On the one hand, operator algebras
constructed from groups provide an
important source of examples and insight.
On the other hand, many problems about the
groups are most naturally studied
within an operatoralgebraic framework. In
this talk I will give an overview
of some problems relating the structure of
a group to the structure of a
corresponding operator algebra, and
describe some recent developments.
In particular, I will discuss the recent
solution of the following very natural
problem: For which groups is the algebra
simple?
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