- December 21,
2011, Wednesday - 15h00
(Room
P
3.10):
Rui Palma
(PhD-student at the University of Oslo and Colaborator of CEAF)
" Hecke
algebras and their C*-completions "
Abstract. Hecke algebras can be seen as an analogue
of group algebras of quotient groups G/H when H is no longer a normal
subgroup. They admit several canonical C*-completions and when some of
these coincide, and a maximal C*-norm exists, there is a nice
correspondence between *-representations of a Hecke algebra and unitary
representations of G generated by the H-fixed vectors.
In this seminar I will give an overview of the theory of Hecke algebras
and their various C*-completions. I will also discuss some recent work
on the existence of a maximal C*-completion and the isomorphism problem
among the remaining canonical completions, for several classes of Hecke
algebras.
Past Seminars
2011/12
2010/11
2009/10
2008/09
2007/08
2006/07
2005/06
2004/05
2003/04
2002/03
2001/02
2000/01
1999/2000
1998/99
1997/98
1996/97
1995/96
Seminars take place in
Lisbon, I.S.T. -
Post Graduation Building