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A note on the rational homological dimension of lattices in positive characteristic
Published online by Cambridge University Press: 10 June 2022
Abstract
We show via $\ell^2$ -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.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust