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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,… Click to show full abstract
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.
Keywords:
disconnected locally;
locally compact;
contraction groups;
totally disconnected;
subgroups quotients
Journal Title: Israel Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Israel Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!