Geodesic
The Orbit Method for the Baum-Connes Conjecture for Algebraic Groups over Local Function Fields
Journal of Lie theory, Tome 28 (2018) no. 2, pp. 323-341 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 [see J. Chabert, S. Echterhoff, and R. Nest, The Connes-Kasparov conjecture for almost connected groups and for linear p-adic groups, Publ. Math. Inst. Hautes Etudes Sci. 97 (2003) 239--278] 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.
Classification : 19K35, 20G25
Mots-clés : Orbit method, Baum-Connes conjecture, linear algebraic groups, local function fields 
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     author = {S. Echterhoff and K. Li and R. Nest},
     title = {The {Orbit} {Method} for the {Baum-Connes} {Conjecture} for {Algebraic} {Groups} over {Local} {Function} {Fields}},
     journal = {Journal of Lie theory},
     pages = {323--341},
     year = {2018},
     volume = {28},
     number = {2},
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S. Echterhoff; K. Li; R. Nest. The Orbit Method for the Baum-Connes Conjecture for Algebraic Groups over Local Function Fields. Journal of Lie theory, Tome 28 (2018) no. 2, pp. 323-341. http://geodesic.mathdoc.fr/item/JLT_2018_28_2_JLT_2018_28_2_a1/