Linear Analysis Seminar

Date Time 
Location  Speaker 
Title – click for abstract 

02/01 4:00pm 
BLOC 220 
Sarah Plosker Brandon University 
On operatorvalued measures
We consider positive operatorvalued measures whose image is the bounded operators acting on an infinitedimensional Hilbert space, and we relax, when possible, the usual assumption of positivity of the operatorvalued measure seen in the quantum information theory literature. We consider integrals of quantum random variables, extending work done by FarenickPloskerSmith (2011) to the setting of infinitedimensional Hilbert space, and develop positive operatorvalued versions of a number of classical measure decomposition theorems. This is joint work with D. Mclaren and C. Ramsey. 

02/08 4:00pm 
BLOC 220 
Michiya Mori University of Tokyo 
Isometries between substructures of operator algebras
In 1951, Kadison proved that every unital linear surjective isometry
between two unital C*algebras is a Jordan *isomorphism. In this talk,
I will survey some recent results on isometries between operator
algebras. We give the general form of surjective isometries between unit
spheres of two C*algebras and between projection lattices of two von
Neumann algebras. This is partly a joint work with Narutaka Ozawa. 

02/15 4:00pm 
BLOC 220 
Michiya Mori University of Tokyo 
Isometries between substructures of operator algebras II
I will explain further details about the talk one week before, in
particular on Tingley's problem for operator algebras. 

02/22 4:00pm 
BLOC 220 
Corey Jones Ohio State University 
Generalized crossed products and discrete subfactors
We will describe a generalization of the crossed product construction for von Neumann algebras, where a group action on the algebra is replaced by a rigid C*tensor category action on the algebra, together with a W*algebra object internal to this category. Every spherical discrete extension of a II1 factor can be uniquely realized as such a crossed product. We will discuss some examples and applications. Based on joint work with David Penneys. 

03/01 4:00pm 
BLOC 220 
Roy Araiza Purdue University 
TBA 

03/29 4:00pm 
BLOC 220 
Martijn Caspers TU Delft 


03/30 09:00am 
U. Houston 
Brazos Analysis Seminar 
Brazos Analysis Seminar


03/31 09:00am 
U. Houston 
Brazos Analysis Seminar 
Brazos Analysis Seminar


04/12 4:00pm 
BLOC 220 
Kari Eifler TAMU 

The organizer for this seminar is
David Kerr.