Groups with Bounded Trace
by
Terje Sund
University of Oslo, Norway

Let A be a C ^* -algebra and [^A] its dual space, consisting of all unitary equivalence classes of continuous irreducible representations. An element x in A⁺ is said to be of bounded trace if the map \pi --> \text tr(\pi(x)) from [^A] to R is bounded. A is of bounded trace if its bounded trace elements span a dense ideal of A. We give a structure theorem for the class of all connected Lie groups possessing a bounded trace C ^* -algebra.

Date received: April 27, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacw-33.