14 citations · 108 across the 42 of their papers we have counts for
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math.KT2000★ 8 cited
A proof of the Baum-Connes conjecture for reductive adelic groups
Paul Baum, Stephen Millington, Roger Plymen
Let F be a global field, A its ring of adeles, G a reductive group over F. We prove the Baum-Connes conjecture for the adelic group G(A).
math.KT2000★ 11 cited
Geometry of the smooth dual of GL(n)
Jacek Brodzki, Roger Plymen
Let A(n) be the smooth dual of the p-adic group G=GL(n). We create on A(n) the structure of a complex algebraic variety. There is a morphism of A(n) onto the Bernstein variety Omeg…
math.KT2000★ 2 cited
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…