The direction of an automorphism of a totally disconnected locally compact group |
| |
Authors: | Udo Baumgartner George A Willis |
| |
Institution: | (1) School of Mathematical and Physical Sciences, University of Newcastle, University Drive, Building V, Callaghan, NSW, 2308, Australia |
| |
Abstract: | We describe the asymptotic behavior of automorphisms of totally disconnected locally compact groups in terms of a set of `directions'
which comes equipped with a natural pseudo-metric. The structure at infinity obtained by completing the induced metric quotient
space of the set of directions recovers familiar objects such as: the set of ends of the tree for the group of inner automorphisms
of the group of isometries of a regular locally finite tree; and the spherical Bruhat-Tits building for the group of inner
automorphisms of the set of rational points of a semisimple group over a local field.
Research supported by A.R.C. Grant DP0208137. |
| |
Keywords: | 22D05 22D45 20E36 20E08 20G25 |
本文献已被 SpringerLink 等数据库收录! |