TY - JOUR
AU - Hjorth, G
Y2 - 2014/05/21
Y1 - 2005/01/01
SN - 0002-9947
UR - http://hdl.handle.net/11343/27839
AB - Every non-amenable countable group induces orbit inequivalent ergodic equivalence relations on standard Borel probability spaces. Not every free, ergodic, measure preserving action of
F
2
\mathbb {F}_2
on a standard Borel probability space is orbit equivalent to an action of a countable group on an inverse limit of finite spaces. There is a treeable non-hyperfinite Borel equivalence relation which is not universal for treeable in the
≤
B
\leq _B
ordering.

LA - English
PB - AMER MATHEMATICAL SOC
KW - Pure Mathematics
T1 - A converse to Dye's theorem
DO - 10.1090/S0002-9947-04-03672-4
IS - Transactions of the American Mathematical Society
VL - 357
IS - 8
SP - 3083-3103
L1 - /bitstream/handle/11343/27839/254954_79513.pdf?sequence=1&isAllowed=n
ER -