Thumbnail
Access Restriction
Open

Author Baumgartner, Udo ♦ Laca, Marcelo ♦ Ramagge, Jacqui ♦ Willis, George
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-05-21
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Operator Algebras ♦ 46L55 ♦ math
Abstract We study Hecke algebras of groups acting on trees with respect to geometrically defined subgroups. In particular, we consider Hecke algebras of groups of automorphisms of locally finite trees with respect to vertex and edge stabilizers and the stabilizer of an end relative to a vertex stabilizer, assuming that the actions are sufficiently transitive. We focus on identifying the structure of the resulting Hecke algebras, give explicit multiplication tables of the canonical generators and determine whether the Hecke algebra has a universal C*-completion. The paper unifies past algebraic and analytic approaches by focusing on the common geometric thread.The results have implications for the general theory of totally disconnected locally compact groups.
Educational Use Research
Learning Resource Type Article


Open content in new tab

   Open content in new tab