Über das Synthese-Problem fur nilpotente Liesche Gruppen.
Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren.
Operators of Finite Rank in Unitary Representations of Exponential Lie Groups.
Einfache Moduln über gewissen Banachschen Algebren: Ein Imprimitivitätssatz .
Auflösbare Liesche Gruppen mit symmetrischen L1-Algebren.
Invariant cones in solvable Lie algebras.
Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen.
Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen.
Einige Eigenschaften des Darstellungsringes kompakter Gruppen.
Nichtsymmetrische sechsdimensionale Liesche Gruppen.
Symmetry and nonsymmetry for a class of exponential Lie groups.
An example of a generalized completely continuous representation of a locally compact group
There is constructed a compactly generated, separable, locally compact group G and a continuous irreducible unitary representation π of G such that the image π(C*(G)) of the group C*-algebra contains the algebra of compact operators, while the image of the -group algebra does not containany nonzero compact operator. The group G is a semidirect product of a metabelian discrete group and a “generalized Heisenberg group”.
Fell’s subgroup algebra for locally compact abelian groups and -covariance algebras
Discrete nilpotent groups have a primitive ideal space
Banach algebras associated with Laplacians on solvable Lie groups and injectivity of the Harish-Chandra transform
For any connected Lie group G and any Laplacian Λ = X²₁ + ⋯ + X²ₙ ∈ 𝔘𝔤 (X₁,...,Xₙ being a basis of 𝔤) one can define the commutant 𝔅 = 𝔅(Λ) of Λ in the convolution algebra ℒ¹(G) as well as the commutant ℭ(Λ) in the group C*-algebra C*(G). Both are involutive Banach algebras. We study these algebras in the case of a "distinguished Laplacian" on the "Iwasawa part AN" of a semisimple Lie group. One obtains a fairly good description of these algebras by objects derived from the semisimple group....
Simple quotients of group -algebras for two step nilpotent groups and connected Lie groups
Normalizers and centralizers of reductive subgroups of almost connected Lie groups.
Cocycles on abelian groups and primitive ideals in group -algebras of two step nilpotent groups and connected Lie groups.
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