Ein Problem aus der Theorie der Gleichverteilung. I. Teil.
Einige Eigenschaften des Darstellungsringes kompakter Gruppen.
Ensembles de Sidon et espaces de cotype 2
Ergodic Actions by Compact Groups on C*-Algebras.
Expansive Automorphisms in Compact Groups.
Extremal phenomena in certain classes of totally bounded groups [Book]
Fine Groupings and Divergence of Approximation Processes on Compact Topological Groups.
Free Compact Abelian Groups
Generic sets in definably compact groups
A subset X of a group G is called left genericif finitely many left translates of X cover G. Our main result is that if G is a definably compact group in an o-minimal structure and a definable X ⊆ G is not right generic then its complement is left generic. Among our additional results are (i) a new condition equivalent to definable compactness, (ii) the existence of a finitely additive invariant measure on definable sets in a definably compact group G in the case where G = *H...
Gleichverteilte folgen von operatoren
Group Automorphisms With Finite Entropy.
Group representations in non-archimedean Banach spaces
Hardy's inequality for compact Lie groups.
Harmonic functions on homogeneous spaces of commutator induced extensions of compact groups
Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. groups
Homogeneity or otherwise for Certain Morphism Spaces.
Idempotents and the multiplicative group of some totally bounded rings
In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Imposing psendocompact group topologies on Abeliau groups
The least cardinal λ such that some (equivalently: every) compact group with weight α admits a dense, pseudocompact subgroup of cardinality λ is denoted by m(α). Clearly, . We show: Theorem 4.12. Let G be Abelian with |G| = γ. If either m(α) ≤ α and m, or α > ω and , then G admits a pseudocompact group topology of weight α. Theorem 4.15. Every connected, pseudocompact Abelian group G with wG = α ≥ ω satisfies . Theorem 5.2(b). If G is divisible Abelian with , then G admits at most -many...
Inequalities defining orbit spaces.
Large families of dense pseudocompact subgroups of compact groups
We prove that every nonmetrizable compact connected Abelian group G has a family H of size |G|, the maximal size possible, consisting of proper dense pseudocompact subgroups of G such that H ∩ H'={0} for distinct H,H' ∈ H. An easy example shows that connectedness of G is essential in the above result. In the general case we establish that every nonmetrizable compact Abelian group G has a family H of size |G| consisting of proper dense pseudocompact subgroups of G such that each intersection H H'...