Der Typ der regulären Darstellung diskreter Gruppen.
Topologische Eigenschaften des dualen Raumes diskreter Gruppen.
The conjugation representation and inner amenability of discrete groups.
Ideale mit beschränkter approximativer Eins in Gruppenalgebren von Moore-Gruppen.
Zur harmonischen Analyse klassenkompakter Gruppen. II
A Qualitative Uncertainty Principle for Certain Locally Compact Groups.
Homomorphisms of commutative Banach algebras and extensions to multiplier algebras with applications to Fourier algebras
Let A and B be semisimple commutative Banach algebras with bounded approximate identities. We investigate the problem of extending a homomorphism φ: A → B to a homomorphism of the multiplier algebras M(A) and M(B) of A and B, respectively. Various sufficient conditions in terms of B (or B and φ) are given that allow the construction of such extensions. We exhibit a number of classes of Banach algebras to which these criteria apply. In addition, we prove a polar decomposition for homomorphisms from...
Power boundedness in Banach algebras associated with locally compact groups
Let G be a locally compact group and B(G) the Fourier-Stieltjes algebra of G. Pursuing our investigations of power bounded elements in B(G), we study the extension property for power bounded elements and discuss the structure of closed sets in the coset ring of G which appear as 1-sets of power bounded elements. We also show that L¹-algebras of noncompact motion groups and of noncompact IN-groups with polynomial growth do not share the so-called power boundedness property. Finally, we give a characterization...
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