3 citations · 11 across the 12 of their papers we have counts for
12 papers · 1 filter
Some notes on Pontryagin duality of abelian topological groups
Linus Kramer, Karl Heinrich Hofmann
We consider several questions related to Pontryagin duality in the category of abelian pro-Lie groups.
A short note on coproducts of abelian pro-Lie groups
Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo
The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbi…
On weakly complete group algebras of compact groups
Karl Heinrich Hofmann, Linus Kramer
We study group algebras for compact groups in the category of real and complex weakly complete vector spaces. We also show that the group algebra is a quotient of the weakly comple…
The Pro-Lie Group Aspect of Weakly Complete Algebras and Weakly Complete Group Hopf Algebras
Rafael Dahmen, Karl Heinrich Hofmann
A weakly complete vector space over or is isomorphic to for some set algebraically and topologically. The signifi…
Automatic continuity of abstract homomorphisms between locally compact and Polish groups
Oskar Braun, Karl Heinrich Hofmann, Linus Kramer
We are concerned with questions of the following type. Suppose that and are topological groups belonging to a certain class of spaces, and suppose that …
Locally compact groups approximable by subgroups isomorphic to or
Hatem Hamrouni, Karl H. Hofmann
Let be a locally compact topological group, the connected component of its identity element, and comp(G) the union of all compact subgroups. A topological group will be c…