Gromov's measure equivalence and rigidity of higher rank lattices.
Group Automorphisms With Finite Entropy.
Group C*-algebras satisfying Kadison's conjecture
We tackle R. V. Kadison’s similarity problem (i.e. any bounded representation of any unital C*-algebra is similar to a *-representation), paying attention to the class of C*-unitarisable groups (those groups G for which the full group C*-algebra C*(G) satisfies Kadison’s problem) and thereby we establish some stability results for Kadison’s problem. Namely, we prove that inherits the similarity problem from those of the C*-algebras A and B, provided B is also nuclear. Then we prove that G/Γ is...
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group.
Group Cohomology with Lipschitz Control and Higher Signatures.
Group reflection and precompact paratopological groups
We construct a precompact completely regular paratopological Abelian group G of size (2ω)+ such that all subsets of G of cardinality ≤ 2ω are closed. This shows that Protasov’s theorem on non-closed discrete subsets of precompact topological groups cannot be extended to paratopological groups. We also prove that the group reflection of the product of an arbitrary family of paratopological (even semitopological) groups is topologically isomorphic to the product of the group reflections of the factors,...
Group representations in non-archimedean Banach spaces
Group representations of bounded cosine functions.
Group Representations which Vanish at Infinity.
Group structure in finite coverings of compact solenoidal groups.
Group Structures and Rectifiability in Powers of Spaces
We prove that if some power of a space X is rectifiable, then is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel’skiĭ. We also show that in Mal’tsev spaces of point-countable type, character and π-character coincide.
Groupes associés aux algèbres de Kac-Moody
Groupes de Cremona, connexité et simplicité
Le groupe de Cremona est connexe en toute dimension et, muni de sa topologie, il est simple en dimension .
Groupes de Lie p-adiques et ramification
Groupes de Ping-Pong et comptage
Dans cet article, nous étudions les propriétés asymptotiques d’une large classe de sous-groupe discrets du groupe linéaire réel : les groupes de Ping-Pong. Nous décrivons leur action sur l’espace projectif réel et le comportement à l’infini de leur fonction de comptage.
Groupes de Schottky et comptage
Soient un espace symétrique de type non compact et un groupe discret d’isométries de du type de Schottky. Dans cet article, nous donnons des équivalents des fonctions orbitales de comptage pour l’action de sur .
Groupes localement compacts
Groupes quantiques
Groupes réductifs sur un corps local : I. Données radicielles valuées
Groupoid -algebras.