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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Herz--Schur multipliers and approximation properti
 es - Andrew McKee (Queen's University Belfast)
DTSTART;TZID=Europe/London:20170420T140000
DTEND;TZID=Europe/London:20170420T150000
UID:TALK72034AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72034
DESCRIPTION:<span>Herz--Schur multipliers of a discrete group 
 have proved useful in the study of $C^*$-algebras\
 , as they can be used to link properties of the gr
 oup to approximation properties of the reduced gro
 up $C^*$-algebra. The development of these ideas h
 as shed light on some $C^*$-algebra properties\, a
 nd motivated the introduction and study of others.
 <br> <br> I will introduce Herz--Schur multipliers
 \, and discuss some of their applications\, before
  describing a generalisation of these functions to
  multipliers of a $C^*$-dynamical system. In the f
 inal part of the talk I will show how the generali
 sed Herz--Schur multipliers can be used to study a
 pproximation properties of the reduced crossed pro
 duct formed by a group acting on a $C^*$-algebra\,
  paralleling the applications of Herz--Schur multi
 pliers\; these new tools allow us to study approxi
 mation properties of the reduced crossed product w
 ithout requiring the group to be amenable.</span><
 br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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