Lethbridge Number Theory and Combinatorics Seminar: Alexey Popov

  • Date: 02/08/2016
  • Time: 12:00
Alexey Popov, University of Lethbridge

University of Lethbridge


Operator Algebras with Reduction Properties


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


Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/