Realizing uniformly recurrent subgroups
2018 ◽
Vol 40
(2)
◽
pp. 478-489
◽
Keyword(s):
We show that every uniformly recurrent subgroup of a locally compact group is the family of stabilizers of a minimal action on a compact space. More generally, every closed invariant subset of the Chabauty space is the family of stabilizers of an action on a compact space on which the stabilizer map is continuous everywhere. This answers a question of Glasner and Weiss. We also introduce the notion of a universal minimal flow relative to a uniformly recurrent subgroup and prove its existence and uniqueness.
1974 ◽
Vol 17
(3)
◽
pp. 274-284
◽
Keyword(s):
1973 ◽
Vol 14
(1)
◽
pp. 77-79
◽
2021 ◽
Vol 12
(1)
◽
2003 ◽
Vol 10
(3)
◽
pp. 503-508
◽
Keyword(s):
2017 ◽
Vol 28
(10)
◽
pp. 1750067
◽
1988 ◽
Vol 40
(1)
◽
pp. 109-111
◽
1992 ◽
Vol 12
(2)
◽
pp. 283-295
◽