Matrix entries of real representations of the groups and .
Maximale Integralzerlegungen invarianter positiv definiter Funktionen auf diskreten Gruppen.
Measurable subgroups and nonmeasurable characters.
Measured quantum groupoids associated with matched pairs of locally compact groupoids
Generalizing the notion of matched pair of groups, we define and study matched pairs of locally compact groupoids endowed with Haar systems, in order to give new examples of measured quantum groupoids.
Measures on Locally Compact Groups Whose Fourier-Stieltjes Transforms Vanish at Infinity and Group C*-Algebras.
Measures with idempotent types and completely stable measures on nilpotent groups
Medias en espacios localmente convexos y semi-reflexivilidad.
Metrics in locally compact groups
Metrization criteria for compact groups in terms of their dense subgroups
According to Comfort, Raczkowski and Trigos-Arrieta, a dense subgroup D of a compact abelian group G determines G if the restriction homomorphism Ĝ → D̂ of the dual groups is a topological isomorphism. We introduce four conditions on D that are necessary for it to determine G and we resolve the following question: If one of these conditions holds for every dense (or -dense) subgroup D of G, must G be metrizable? In particular, we prove (in ZFC) that a compact abelian group determined by all its...
Minimal and distal functions on semidirect products of groups II.
Minimal and distal functions on semidirect products of groups
Minimal Topological Groups.
Mixing automorphisms of compact groups and a theorem of Schlickewei.
Module maps over locally compact quantum groups
We study locally compact quantum groups and their module maps through a general Banach algebra approach. As applications, we obtain various characterizations of compactness and discreteness, which in particular generalize a result by Lau (1978) and recover another one by Runde (2008). Properties of module maps on are used to characterize strong Arens irregularity of L₁() and are linked to commutation relations over with several double commutant theorems established. We prove the quantum group...
Modules de Banach sur l’algèbre des mesures -adiques d’un groupe compact totalement discontinu
Monogenic groups
Moore groups have the WS-property.
More about embeddings of almost homogeneous Heisenberg groups.
Most random walks on nilpotent groups are mixing
Let G be a second countable locally compact nilpotent group. It is shown that for every norm completely mixing (n.c.m.) random walk μ, αμ + (1-α)ν is n.c.m. for 0 < α ≤ 1, ν ∈ P(G). In particular, a generic stochastic convolution operator on G is n.c.m.
Multiplier Hopf algebras and duality
We define a category containing the discrete quantum groups (and hence the discrete groups and the duals of compact groups) and the compact quantum groups (and hence the compact groups and the duals of discrete groups). The dual of an object can be defined within the same category and we have a biduality theorem. This theory extends the duality between compact quantum groups and discrete quantum groups (and hence the one between compact abelian groups and discrete abelian groups). The objects in...