- Title
- The direction of an automorphism of a totally disconnected locally compact group
- Creator
- Baumgartner, Udo; Willis, George A.
- Relation
- Mathematische Zeitschrift Vol. 252, Issue 2, p. 393-428
- Publisher Link
- http://dx.doi.org/10.1007/s00209-005-0861-2
- Publisher
- Springer-Verlag
- Resource Type
- journal article
- Date
- 2006
- Description
- 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.
- Subject
- automorphisms; isometries; Bruhat-Tits
- Identifier
- http://hdl.handle.net/1959.13/29128
- Identifier
- uon:2410
- Identifier
- ISSN:1432-1823
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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