Geodesic
A note on the rational homological dimension of lattices in positive characteristic
Glasgow mathematical journal, Tome 65 (2023) no. 1, pp. 138-140

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DOI

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. 
Hughes, Sam. A note on the rational homological dimension of lattices in positive characteristic. Glasgow mathematical journal, Tome 65 (2023) no. 1, pp. 138-140. doi: 10.1017/S0017089522000180
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     title = {A note on the rational homological dimension of lattices in positive characteristic},
     journal = {Glasgow mathematical journal},
     pages = {138--140},
     year = {2023},
     volume = {65},
     number = {1},
     doi = {10.1017/S0017089522000180},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000180/}
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