W∗-superrigidity for coinduced actions
2018 ◽
Vol 29
(04)
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pp. 1850033
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Keyword(s):
We prove W[Formula: see text]-superrigidity for a large class of coinduced actions. We prove that if [Formula: see text] is an amenable almost-malnormal subgroup of an infinite conjugagy class (icc) property (T) countable group [Formula: see text], the coinduced action [Formula: see text] from an arbitrary probability measure preserving action [Formula: see text] is W[Formula: see text]-superrigid. We also prove a similar statement if [Formula: see text] is an icc non-amenable group which is measure equivalent to a product of two infinite groups. In particular, we obtain that any Bernoulli action of such a group [Formula: see text] is W[Formula: see text]-superrigid.
2017 ◽
Vol 38
(7)
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pp. 2644-2665
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Keyword(s):
2017 ◽
Vol 38
(7)
◽
pp. 2618-2624
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Keyword(s):
2015 ◽
Vol 58
(1)
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pp. 110-114
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Keyword(s):
2012 ◽
Vol 33
(2)
◽
pp. 323-333
◽
1981 ◽
Vol 1
(2)
◽
pp. 223-236
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Keyword(s):
2012 ◽
Vol 33
(3)
◽
pp. 777-820
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