Natural definition of entropy of semigroups
Nichtsymmetrische sechsdimensionale Liesche Gruppen.
Nilpotent groups with primitive ideal spaces
Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren.
Non-archimedean induced representations of compact zerodimensional groups
Non-archimedean representations of compact groups
Nonsymmetric group algebras
Non-trivial representations of the special relativitiy group.
Nouvelles approches de la propriété (T) de Kazhdan
Un groupe localement compact a la propriété (T) de Kazhdan si la -cohomologie de tout -module hilbertien est nulle. Cette propriété de rigidité de la théorie des représentations de a trouvé des applications qui vont de la théorie ergodique à la théorie des graphes. Pendant près de 30 ans, les seuls exemples connus de groupes avec la propriété (T), provenaient des groupes algébriques simples sur les corps locaux, ou de leurs réseaux. La situation a radicalement changé ces dernières années :...
On a Class of KMS States for the Unitary Group U (oo).
On a Class of Topological Groups.
On a class of weakly almost periodic mappings.
On a problem of Freudenthal's
On a theorem of S. Banach.
On a translation property of positive definite functions
If G is a locally compact group with a compact invariant neighbourhood of the identity e, the following property (*) holds: For every continuous positive definite function h≥ 0 with compact support there is a constant such that for every continuous positive definite g≥0, where is left translation by x. In [L], property (*) was stated, but the above inequality was proved for special h only. That “for one h” implies “for all h” seemed obvious, but turned out not to be obvious at all. We fill...
On a variant of Kazhdan's property (T) for subgroups of semisimple groups
Let be an irreducible lattice in a product of simple groups. Assume that has a factor with property (T). We give a description of the topology in a neighbourhood of the trivial one dimensional representation of in terms of the topology of the dual space of .We use this result to give a new proof for the triviality of the first cohomology group of with coefficients in a finite dimensional unitary representation.
On approximation of locally compact groups by finite algebraic systems.
On Banach algebras satisfying a spectral maximum principle
On Beurling measure algebras
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On Bounded Approximate Units in Ideals of Group Algebras*