Linear Analysis Seminar

Date Time 
Location  Speaker 
Title – click for abstract 

01/30 2:00pm 
BLOC 220 
Dave Penneys Ohio State 
Standard invariants for discrete subfactors
The standard invariant of a finite index II_1 subfactor is a
$\lambda$lattice and forms a planar algebra. In turn, the planar
algebra formalism has been helpful in constructing and classifying
subfactors, as well as studying analytic properties. In joint work
with Corey Jones, we give a wellbehaved notion of the standard
invariant of an extremal irreducible discrete subfactor $N\subset M$,
where $N$ is type II_1 and $M$ is an arbitrary factor. We also get a
subfactor reconstruction theorem. This generalizes the standard
invariant for finite index subfactors to a natural class of infinite
index subfactors. Particular examples include the symmetric enveloping
inclusion and examples coming from discrete quantum groups.


02/09 4:00pm 
BLOC 220 
Mateusz Wasilewski IMPAN 
Nonconjugacy of generator MASAs in qGaussian algebras
In the study of group von Neumann algebras, sometimes maximal abelian subgroups give rise to maximal abelian subalgebras (MASAs); it happens so for free groups and abelian subgroups generated by a single free generator. These subalgebras are conjugate by an automorphism (coming from the automorphism of a free group), but not by an inner automorphism. Free group factors also admit a different representation, using Voiculescu's free Gaussian functor; in this setting one can generate a MASA using a vector from a real Hilbert space. Bożejko and Speicher introduced a deformation of free group factor, called the qGaussian algebras for which analogues of generator MASAs can be defined. I will show that these MASAs are never conjugate by an inner automorphism, using Popa's intertwining techniques (joint work with Martijn Caspers and Adam Skalski).


03/09 4:00pm 
BLOC 220 
Alexandru Chirvasitu University at Buffalo 
TBA 

03/26 4:00pm 
BLOC 220 
Pierre Tarrago CIMAT 
TBA
TBA 

04/07 4:00pm 
BLOC 220 
Dmitriy Zanin University of New South Wales 
TBA
TBA 

04/13 4:00pm 
BLOC 220 
Jurij Volcic BenGurion University of the Negev 
TBA
TBA 
Archives
2008
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2007
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Prior to 2007
The organizer for this seminar is
David Kerr.