Fixed point characterization of left amenable Lau algebras.
Foliation dynamics and leaf invariants.
Folner sets of alternate directed groups
An explicit family of Folner sets is constructed for some directed groups acting on a rooted tree of sublogarithmic valency by alternate permutations. In the case of bounded valency, these groups were known to be amenable by probabilistic methods. The present construction provides a new and independent proof of amenability, using neither random walks, nor word length.
Fréchet's equation and Hyers theorem on noncommutative semigroups
Function spaces and fixed point properties: a Galois connection.