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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Operator algebras on L^p spaces - N. Christopher P
hillips (University of Oregon)
DTSTART;TZID=Europe/London:20170327T133000
DTEND;TZID=Europe/London:20170327T143000
UID:TALK71645AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71645
DESCRIPTION: \;It has recently been discovered that
there are algebras on L^pspaces which deserve to
be thought of as analogs of selfadjoint operator
algebras on Hilbert spaces (even though there is n
o adjoint on the algebra of bounded operators on
an L^pspace).
 \;
We hav
e analogs of some of the most common examples of H
ilbert space operator algebras\, such as the 
\;AF Algebras\, the irrational rotation al
gebras\, group C*-algebras and von Neumann algebra
s\, more general crossed products\, the Cuntz alg
ebras\, and a few others. We have been able to pr
ove analogs of some of the standard theorems about
these algebras. We also have some ideas towards
when an operator algebra on an \;L^p space&nbs
p\;deserves to be considered the analog of a
C*-algebra or a von Neumann algebra. However\, t
here is little general theory and there are many
open questions\, particularly for the analogs of v
on Neumann algebras.
 \;In this talk\, we will try to give an overview o
f some of what is known and some of the interesti
ng open questions.  \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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