A note on the rational homological dimension of lattices in positive characteristic

We show via ℓ2 -homology that the rational homological dimension of a lattice in a product of simple simply connected Chevalley groups over global function fields is equal to the rational cohomological dimension and to the dimension of the associated Bruhat–Tits building.

Manylion Llyfryddiaeth
Prif Awdur: Hughes, S
Fformat: Journal article
Iaith:English
Cyhoeddwyd: Cambridge University Press 2022