The abelian subgroup conjecture: A counter example.
The Almost Periodic Measures on a Compact Abelian Group.
The amalgamation basis of the category of compact groups.
The Burnside Ring of a Compact Lie Group. I.
The dual group of a dense subgroup
Throughout this abstract, is a topological Abelian group and is the space of continuous homomorphisms from into the circle group in the compact-open topology. A dense subgroup of is said to determine if the (necessarily continuous) surjective isomorphism given by is a homeomorphism, and is determined if each dense subgroup of determines . The principal result in this area, obtained independently by L. Außenhofer and M. J. Chasco, is the following: Every metrizable group is...
The dual space of precompact groups
For any topological group the dual object is defined as the set of equivalence classes of irreducible unitary representations of equipped with the Fell topology. If is compact, is discrete. In an earlier paper we proved that is discrete for every metrizable precompact group, i.e. a dense subgroup of a compact metrizable group. We generalize this result to the case when is an almost metrizable precompact group.
The group of -adic integers.
The relationship between algebraic numbers and expansiveness of automorphisms on compact abelian groups
The representation-ring of a compact Lie group
The structure space of the trigonometric polynomials on a compact group.
The Tannaka-Krein Duality Theorems.
The Z*-theorem for compact Lie groups.
Total Minimality of the Unitary Groups.
Totally-disconnected compact metric groups
Transforms vanishing at infinity in a certain direction and semi-idempotent measures.
Type I criteria and the Plancherel formula for Lie groups with co-compact radical