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Analysis seminarExport this event to calendar

Friday, January 25, 2013 — 3:30 PM EST

Michael Hartz, Department of Pure Mathematics, University of Waterloo

"Universal operator algebras for commuting row contractions"

In this talk, we will consider universal operator algebras generated by commuting row contractions satisfying homogeneous polynomial relations. These algebras can be realized as algebras of functions on the varieties defined by the relations. It turns out that their structure is closely related to the geometry of the associated algebraic varieties.
We will discuss the question of when two algebras of this are type isomorphic. In particular, we will see that two such algebras are topologically isomorphic if and only if there is an invertible linear map on Cd which maps one variety isometrically onto the other. This builds on the theory developed by Davidson, Ramsey and Shalit. The main new ingredient is to show that finite algebraic sums of full Fock spaces over subspaces of Cd are closed.

Location 
MC - Mathematics & Computer Building
5136B
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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