
Journal of Lie Theory 28 (2018), No. 2, 323341 Copyright Heldermann Verlag 2018 The Orbit Method for the BaumConnes Conjecture for Algebraic Groups over Local Function Fields Siegfried Echterhoff Mathematisches Institut, WWU Münster, Einsteinstrasse 62, 48149 Münster, Germany echters@unimuenster.de Kang Li Mathematisches Institut, WWU Münster, Einsteinstrasse 62, 48149 Münster, Germany lik@unimuenster.de Ryszard Nest Dept. of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark rnest@math.ku.dk The main purpose of this paper is to modify the orbit method for the BaumConnes conjecture as developed by Chabert, Echterhoff and Nest in their proof of the ConnesKasparov conjecture for almost connected groups [see J. Chabert, S. Echterhoff, and R. Nest, The ConnesKasparov conjecture for almost connected groups and for linear padic groups, Publ. Math. Inst. Hautes Etudes Sci. 97 (2003) 239278] in order to deal with linear algebraic groups over local function fields (i.e., nonarchimedean local fields of positive characteristic). As a consequence, we verify the BaumConnes conjecture for certain Levidecomposable 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. Keywords: Orbit method, BaumConnes conjecture, linear algebraic groups, local function fields. MSC: 19K35, 20G25 [ Fulltextpdf (417 KB)] for subscribers only. 