Group topologies yielding the same character group
by
Javier Trigos-Arrieta
California State University, Bakersfield, USA
Coauthors: F. Garibay Bonales, R. Vera Mendoza

Let G be an Abelian group, and assume that X is a group of characters of G (homomorphisms from G into the circle) such that the weakest topology on G making the elements of X continuous is Hausdorff. Motivated by the Mackey-Arens Theorem for locally convex vector spaces, we address the following problem: Is there a largest group topology \mu on G producing exactly X as the group of \mu-continuous characters?

Date received: March 23, 2001

Copyright © 2001 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 # cafw-71.