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Lethbridge Number Theory and Combinatorics Seminar
Date: February 8, 2016
Time: 12:00-12:50pm
Lecturer(s): Alexey Popov, University of Lethbridge
Location: University of Lethbridge
Topic: Operator Algebras with reduction properties
Description (in plain text format): An algebra is a vector space with a well-defined multiplication. An operator algebra is an algebra of operators acting on a Hilbert space, typically assumed closed in the norm topology. An easy example of an operator algebra is the algebra M_n(C) of all the complex nxn matrices.
In this colloquium-style talk, we will discuss operator algebras A with the following property: every A-invariant subspace is complemented by another A-invariant subspace. This property is called the Reduction property and is a kind of semisimplicity. We will discuss the connections of this property to some classical problems, such as Kadison Similarity Problem and the structure of amenable operator algebras.
Other Information:
Location: C630 University Hall
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
