On the Bohr Topology in Amenable Topological Groups.
On the notion of virtual amenability for groups
On the Relation between Amenability of Locally Compact Groups and the Norms of Convolution Operators.
On the support of the conjugation representation for solvable locally compact groups.
On φ-inner amenable Banach algebras
Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of φ-inner amenability of any Banach algebra A, where φ is a homomorphism from A onto ℂ. Several characterizations of φ-inner amenable Banach algebras are given.
Pairings, duality, amenability and bounded cohomology
We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
P-Amenable Locally Compact Groups.
Point derivations on the L¹-algebra of polynomial hypergroups
We investigate whether the L¹-algebra of polynomial hypergroups has non-zero bounded point derivations. We show that the existence of such point derivations heavily depends on growth properties of the Haar weights. Many examples are studied in detail. We can thus demonstrate that the L¹-algebras of hypergroups have properties (connected with amenability) that are very different from those of groups.
Pointwise theorems for amenable groups.
Positive-definite functions on discrete commutative semigroups: Errata and supplements.
Preliminary algebras arising from local homeomorphisms.
Proper cocycles and weak forms of amenability
Let G and H be locally compact, second countable groups. Assume that G acts in a measure class preserving way on a standard space (X,μ) such that has an invariant mean and that there is a Borel cocycle α: G × X → H which is proper in the sense of Jolissaint (2000) and Knudby (2014). We show that if H has one of the three properties: Haagerup property (a-T-menability), weak amenability or weak Haagerup property, then so does G. In particular, we show that if Γ and Δ are measure equivalent discrete...
Pseudo-amenability of Brandt semigroup algebras
In this paper it is shown that for a Brandt semigroup over a group with an arbitrary index set , if is amenable, then the Banach semigroup algebra is pseudo-amenable.
Quasiminimal distal function space and its semigroup compactification.
Recurrent points and discrete points for elementary amenable groups.
Reiter's condition on foundation semigroups.
Representations of Topological Semigroups
Semigroup compactifications by generalized distal functions and a fixed point theorem.
Semi-groupes de Feller invariants sur les espaces homogènes non moyennables.
Some aspects of abstract harmonic analysis.