most citedThe Hecke algebra of a reductive p-adic group: a geometric conjecture

1 citations · 1 across the 2 of their papers we have counts for

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3 papers

math.RT2005★ 1 cited

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…

math.KT2002

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…

math.KT2002

Periodic cyclic homology of Iwahori-Hecke algebras

Paul Baum, Victor Nistor

We determine the periodic cyclic homology of the Iwahori-Hecke algebras $\Hecke_q$, for $q \in \CC^*$ not a ``proper root of unity.'' (In this paper, by a {\em proper root of unity…