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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Herz-Schur multipliers of dynamical systems - Ivan
Todorov (Queen's University Belfast)
DTSTART;TZID=Europe/London:20170223T140000
DTEND;TZID=Europe/London:20170223T150000
UID:TALK71108AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71108
DESCRIPTION:Herz-Schur multipliers of a locally compact group\
, introduced by Haagerup and de Canniere in 1985\,
have been instrumental in operator algebra theory
in a variety of contexts\, in particular in the s
tudy of approximation properties of group operator
algebras. They can be viewed as the invariant par
t of the Schur multipliers - a class of maps on B(
H) with another long list of applications\, e.g. i
n perturbation theory of linear operators. In this
talk\, which is based on a joint work with A. McK
ee and L. Turowska\, I will introduce operator-val
ued Schur and Herz-Schur multipliers of arbitrary
locally compact groups. The latter give rise to na
tural maps on C*- and von Neumann algebra \;cr
ossed products. I will present a characterisation
of operator-valued Herz-Schur multipliers as the i
nvariant part of the operator-valued Schur multipl
iers\, and will discuss various special cases whic
h highlight the generality of this class of maps a
nd their potential usefulness in subsequent resear
ch.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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