4 citations · 6 across the 5 of their papers we have counts for
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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…
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).
Chern character for the Schwartz algebra of p-adic GL(n)
Jacek Brodzki, Roger Plymen
We construct a Chern character map from the K-theory of the reduced C^* algebra of the p-adic GL(n) with values in the periodic cyclic homology of the Schwartz algebra of this grou…