4 citations · 6 across the 5 of their papers we have counts for
9 papers
The Hecke algebra of a reductive p-adic group: a geometric conjecture
Anne-Marie Aubert, Paul Baum, Roger Plymen
Let H(G) be the Hecke algebra of a reductive p-adic group G. We formulate a conjecture for the ideals in the Bernstein decomposition of H(G). The conjecture says that each ideal is…
Cycles in the chamber homology of GL(3)
Anne-Marie Aubert, Samir Hasan, Roger Plymen
Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes o…
Entire cyclic homology of Schatten ideals
J. Brodzki, R. J. Plymen
Certain cocycles constructed by Connes are characters of -summable Fredholm modules. In this article, we establish some consequences of the universal properties which these char…
Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition
Anne-Marie Aubert, Roger Plymen
Let F be a nonarchimedean local field, let D be a division algebra over F, let GL(n) = GL(n,F). Let νdenote Plancherel measure for GL(n). Each component Ωin the Bernstein variety Ω…
Local-global principle for the Baum-Connes conjecture with coefficients
Paul Baum, Stephen Millington, Roger Plymen
We establish the Hasse principle (local-global principle) in the context of the Baum-Connes conjecture with coefficients. We illustrate this principle with the discrete group $GL(2…
A geometric counterpart of the Baum-Connes map for GL(n)
Jacek Brodzki, Roger Plymen
We describe a geometric counterpart of the Baum-Connes map for the p-adic group GL(n).