Seminar on
Functional Analysis and Applications

Supported by The Center for Functional Analysis and Applications - CEAF.
      
Next talks: _______________________________________________________________________



  • 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