Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups

Title: Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups
Creator: Bywaters, Timothy P.; Glöckner, Helge; Tornier, Stephan
Relation: Israel Journal of Mathematics Vol. 227, Issue 2, p. 691-752
Publisher Link: http://dx.doi.org/10.1007/s11856-018-1750-9
Publisher: Magnes Press
Resource Type: journal article
Date: 2018
Description: The concepts of the scale and tidy subgroups for an automorphism of a totally disconnected locally compact group were defined in seminal work by George A. Willis in the 1990s, and recently generalized to the case of endomorphisms (G. A. Willis, Math. Ann. 361 (2015), 403-442). We show that central facts concerning the scale, tidy subgroups, quotients, and contraction groups of automorphisms extend to the case of endomorphisms. In particular, we obtain results concerning the domain of attraction around an invariant closed subgroup.
Subject: contraction groups; subgroups; endomorphisms
Identifier: http://hdl.handle.net/1959.13/1444820
Identifier: uon:42416
Identifier: ISSN:0021-2172
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format