Some aspects of harmonic analysis on free groups
SOME GENERAL RESULTS ON FIXED POINTS AND INVARIANT MEANS.
Some notions of amenability for certain products of Banach algebras
For two Banach algebras and ℬ, an interesting product , called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.
Some properties of groups without the property P1.
Some Remarks on Invariant Means.
Some results on submodules of
Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups
Let A be a semisimple commutative regular tauberian Banach algebra with spectrum . In this paper, we study the norm spectra of elements of and present some applications. In particular, we characterize the discreteness of in terms of norm spectra. The algebra A is said to have property (S) if, for all , φ has a nonempty norm spectrum. For a locally compact group G, let denote the C*-algebra generated by left translation operators on and denote the discrete group G. We prove that the Fourier...
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.
The aim of this paper is to study mean value operators on the reduced Heisenberg group Hn/Γ, where Hn is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of Hn.
Strong continuity of invariant probability charges
Consider a semigroup action on a set. We derive conditions, in terms of the induced action of the semigroup on {0,1}-valued probability charges, which ensure that all invariant probability charges are strongly continuous.
Strongly invariant means on commutative hypergroups
We introduce and study strongly invariant means m on commutative hypergroups, , x ∈ K, . We show that the existence of such means is equivalent to a strong Reiter condition. For polynomial hypergroups we derive a growth condition for the Haar weights which is equivalent to the existence of strongly invariant means. We apply this characterization to show that there are commutative hypergroups which do not possess strongly invariant means.
Structure of function algebras on foliated manifolds.
Subspaces of with unique topological left invariant mean
Suites uniformément distribuées et fonctions faiblement presque-périodiques
Sur certaines propriétés des représentations unitaires des groups localement compacts
Sur certains éléments ergodiques dans
Sur un théorème de Day, un théorème de Mazur-Orlicz et une généralisation de quelques théorèmes de Silverman
Testing Cayley graph densities
We present a computer-assisted analysis of combinatorial properties of the Cayley graphs of certain finitely generated groups: given a group with a finite set of generators, we study the density of the corresponding Cayley graph, that is, the least upper bound for the average vertex degree (= number of adjacent edges) of any finite subgraph. It is known that an -generated group is amenable if and only if the density of the corresponding Cayley graph equals to . We test amenable and non-amenable...
The automorphism group of the random lattice is not amenable
We prove that the automorphism group of the random lattice is not amenable, and we identify the universal minimal flow for the automorphism group of the random distributive lattice.
The Banach-Tarski Paradox
The cardinality of the set of invariant means on a locally compact topological semigroup