A duality for Moore groups

Abstract

We suggest a new generalization of Pontryagin duality from the category of Abelian locally compact groups to a category which includes all Moore groups, i.e. groups whose irreducible representations are finite-dimensional. Objects in this category are pro-C*-algebras with a structure of Hopf algebras (in the strict algebraic sense) with respect to a certain topological tensor product.

This version is accepted by J. Oper. Theory

References in corpus (1)

• Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity