L. A. Harrington, A. S. Kechris, and A. Louveau. A Glimm–Effros dichotomy for Borel equivalence relations. Journal of the American Mathematical Society, vol. 3 (1990), pp. 903–928. - Alain Louveau and Boban Velickovic. A note on Borel equivalence relations. Proceedings of the American Mathematical Society, vol. 120 (1994), pp. 255–259. - Alexander S. Kechris and Alain Louveau. The classification ofhypersmooth equivalence relations. Journal of the American Mathematical Society, vol. 10 (1997), pp. 215–242.

1998 ◽  
Vol 63 (2) ◽  
pp. 749-750
Author(s):  
Greg Hjorth
2017 ◽  
Vol 38 (7) ◽  
pp. 2447-2492 ◽  
Author(s):  
LEWIS BOWEN

Consider a measured equivalence relation acting on a bundle of hyperbolic metric spaces by isometries. We prove that every aperiodic hyperfinite subequivalence relation is contained in a unique maximal hyperfinite subequivalence relation. We classify elements of the full group according to their action on fields on boundary measures (extending earlier results of Kaimanovich [Boundary amenability of hyperbolic spaces.Discrete Geometric Analysis(Contemporary Mathematics, 347). American Mathematical Society, Providence, RI, 2004, pp. 83–111]), study the existence and residuality of different types of elements and obtain an analog of Tits’ alternative.


2021 ◽  
Vol 126 (5) ◽  
pp. 3853-3870
Author(s):  
Lawrence Smolinsky ◽  
Daniel S. Sage ◽  
Aaron J. Lercher ◽  
Aaron Cao

Science ◽  
1922 ◽  
Vol 55 (1431) ◽  
pp. 600-602
Author(s):  
R. G. D. Richardson

2014 ◽  
Vol 20 (1) ◽  
pp. 94-97
Author(s):  
Natasha Dobrinen

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