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math.GR2025
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…
math.GR2025
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…