On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic.
On systems of imprimitivity on locally compact abelian groups with dense actions
Consider the four pairs of groups , , and , where , are locally compact second countable abelian groups, is a dense subgroup of with inclusion map from to continuous; is a closed subgroup of ; , are the duals of and respectively, and is the annihilator of in . Let the first co-ordinate of each pair act on the second by translation. We connect, by a commutative diagram, the systems of imprimitivity which arise in a natural fashion on each pair, starting with a system...
On tails of stationary measures on a class of solvable groups
On tensor products of Abelian groups
On the ?-adic representations associated to some simple Shimura varieties.
On the algebraic hull of an automorphism group of a principal bundle.
On the algebraic structure of the unitary group.
We consider the unitary group U of complex, separable, infinite-dimensional Hilbert space as a discrete group. It is proved that, whenever U acts by isometries on a metric space, every orbit is bounded. Equivalently, U is not the union of a countable chain of proper subgroups, and whenever E ⊆ U generates U, it does so by words of a fixed finite length.
On the analytic vector variant of the Hille-Yosida theorem.
On the annihilators of the simple subquotients of the principal series
On the approximation of functions on locally compact abelian groups.
On the archimedean theory of Rankin-Selberg convolutions for
On the asymptotics of Harish-Chandra modules.
On the automorphism group of a compact Lorentz manifold and other geometric.
On the basic algebraic operations in solvable Lie groups.
On the behaviour of sequences in the dual of a nilpotent Lie group.
On the Betti Numbers of a Hyperbolic Manifold.
On the Canonical k-Types in the Irreducible Unitary g-Modules with Non-Zero Relative Cohomology.
On the casual structure of homogeneous manifolds.
On the causal structure of Lorentzian Lie groups. A globality theorem for Lorentzian cones in certain solvable Lie algebras.
On the centralizer conjecture for monoids with locally linear models.