Periodic cyclic homology of reductive \(p\)-adic groups

DOI10.4171/JNCG/45zbMath1181.22018arXiv0710.5815OpenAlexW2118713836MaRDI QIDQ734815

Maarten Solleveld

Publication date: 14 October 2009

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5815

zbMATH Keywords

\(p\)-adic groupscyclic cohomologyBaum-Connes conjecture

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (11)

On the classification of irreducible representations of affine Hecke algebras with unequal parameters ⋮ Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields ⋮ Types and unitary representations of reductive \(p\)-adic groups ⋮ Generalizations of the Springer correspondence and cuspidal Langlands parameters ⋮ Parabolically induced representations of graded Hecke algebras. ⋮ Conjectures about 𝑝-adic groups and their noncommutative geometry ⋮ Homology of graded Hecke algebras. ⋮ Topological K-theory of affine Hecke algebras ⋮ The periodic cyclic homology of crossed products of finite type algebras ⋮ Novikov’s Conjecture ⋮ An exotic Deligne-Langlands correspondence for symplectic groups.

Cites Work

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• Equivariant-bivariant Chern character for profinite groups
• Periodic cyclic homology of Iwahori-Hecke algebras.
• A proof of the Baum-Connes conjecture for p-adic GL(n)

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