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

Echterhoff S, Nest R, Li K (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of Lie Theory Heldermann Verlag

Book Volume: 28

Pages Range: 323-341

Journal Issue: 2

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 (Chabert J., S. Echterhoff, and R. Nest, The Connes-Kasparov conjecture for almost connected groups and for linear p-adic groups, Publ. Math. Inst. Hautes Études 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.

Authors with CRIS profile

Kang Li

Involved external institutions

Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE) University of Copenhagen DK Denmark (DK)

How to cite

APA:

Echterhoff, S., Nest, R., & Li, K. (2018). The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields. Journal of Lie Theory, 28(2), 323-341.

MLA:

Echterhoff, Siegfried, Ryszard Nest, and Kang Li. "The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields." Journal of Lie Theory 28.2 (2018): 323-341.

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