5 papers · 1 filter
Some explicit cocycles on the Furstenberg boundary for products of isometries of hyperbolic spaces and
Michelle Bucher, Alessio Savini
Nicolas Monod showed that the evaluation map between the measurable cohomology of the action of a connected semisimple Lie gr…
Continuous cochains on Furstenberg boundaries and injectivity of the comparison map
Michelle Bucher, Alessio Savini
Monod proved that any continuous cohomology of a semisimple Lie group can be represented by a measurable cocycle on the associated Furstenberg boundary, which we upgraded to an…
Kernels in measurable cohomology for transitive actions
Michelle Bucher, Alessio Savini
Given a connected semisimple Lie group , Monod has recently proved that the measurable cohomology of the -action on the Furstenberg boundary $…
Projections from Furstenberg boundaries onto maximal flats and barycenter maps
Michelle Bucher, Alessio Savini
Let be a semisimple connected Lie group of non-compact type with finite center. Let be a maximal compact subgroup and be a minimal parabolic subgroup. For any pair…
Alternating cochains on Furstenberg boundaries and measurable cohomology
Michelle Bucher, Alessio Savini
Nicolas Monod showed that the evaluation map between the measurable cohomology of the action of a connected semisimple Lie…