Characters and Primitive Ideal Spaces of Nilpotent Discrete Groups

  • Date: 03/15/2007

Jose Maria Cantarero-Lopez (University of British Columbia)


University of British Columbia


If G is a discrete abelian group, then the space of maximal ideals of the L1-
and the C*-algebra of G is homeomorphic to the compact dual group of G.
This generalizes to some extent to discrete nilpotent groups G, where
the the dual group has to be replaced by the space of characters of G
and the main problem is the description of the hull-kernel topology on
the primitive ideal space in terms of a topology on the space of
characters. Very satisfying results have been obtained for finitely
generated nilpotent groups.

Other Information: 

PIMS Distinguished Chair Lectures 2007