$L^2$-cohomology of buildings with fundamental class

DOI10.1090/S0002-9939-03-07234-4zbMath1053.58008MaRDI QIDQ4461172

Jan Dymara

Publication date: 29 March 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(L^2\)-cohomologybuildingCoxeter system

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Exotic index theories on manifolds (58J22)

Related Items (3)

A note on the rational homological dimension of lattices in positive characteristic ⋮ Weighted \(L^2\)-cohomology of Coxeter groups. ⋮ \(L^2\)-Betti numbers and Plancherel measure

Cites Work

• Unnamed Item
• Reciprocity of growth functions of Coxeter groups
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Cohomology of buildings and of their automorphism groups.
• Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups
• Cohomologie ℓp espaces de Besov
• Sur les immeubles fuchsiens et leur type de quasi-isométrie

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