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arXiv · 1704.08548

The orbit method for the Baum-Connes Conjecture for algebraic groups over local function fields

Siegfried Echterhoff·Kang Li·Ryszard Nest
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Abstract

The main purpose of this paper is to modify the orbit method for the Baum-Connes conjecture as developed by Chabert, Echterhoff and Nest in their proof of the Connes-Kasparov conjecture for almost connected groups \cite{MR2010742} in order to deal with linear algebraic groups over local function fields (i.e., non-archimedean local fields of positive characteristic). As a consequence, we verify the Baum-Connes conjecture for certain Levi-decomposable linear algebraic groups over local function fields. One of these is the Jacobi group, which is the semidirect product of the symplectic group and the Heisenberg group.

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Siegfried Echterhoff, Kang Li, Ryszard Nest. 2017-04-27. The orbit method for the Baum-Connes Conjecture for algebraic groups over local function fields. https://arxiv.org/abs/1704.08548

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