On sofic groupoids and their full groups

Comptes Rendus Mathematique - Tập 356 - Trang 957-962 - 2018
Luiz Cordeiro1
1University of Ottawa, Canada

Tài liệu tham khảo

Anantharaman-Delaroche, 2000, Amenable Groupoids, vol. 36 Bowen, 2014, Entropy theory for sofic groupoids I: the foundations, J. Anal. Math., 124, 149, 10.1007/s11854-014-0030-9 Conley, 2013, Ultraproducts of measure preserving actions and graph combinatorics, Ergod. Theory Dyn. Syst., 33, 334, 10.1017/S0143385711001143 Dye, 1963, On groups of measure preserving transformations. II, Amer. J. Math., 85, 551, 10.2307/2373108 Dykema, 2014, Sofic dimension for discrete measured groupoids, Trans. Amer. Math. Soc., 366, 707, 10.1090/S0002-9947-2013-05987-9 Elek, 2015, Full groups and soficity, Proc. Amer. Math. Soc., 143, 1943, 10.1090/S0002-9939-2014-12403-8 Elek, 2010, Sofic equivalence relations, J. Funct. Anal., 258, 1692, 10.1016/j.jfa.2009.10.013 Feldman, 1977, Ergodic equivalence relations, cohomology, and von Neumann algebras. I, Trans. Amer. Math. Soc., 234, 289, 10.1090/S0002-9947-1977-0578656-4 Feldman, 1989, Subrelations of ergodic equivalence relations, Ergod. Theory Dyn. Syst., 9, 239, 10.1017/S0143385700004958 Giordano, 2007, Some extremely amenable groups related to operator algebras and ergodic theory, J. Inst. Math. Jussieu, 6, 279, 10.1017/S1474748006000090 Gromov, 1999, Endomorphisms of symbolic algebraic varieties, J. Eur. Math. Soc., 1, 109, 10.1007/PL00011162 Ivanov Kechris, 1995, Classical Descriptive Set Theory, vol. 156 Kechris, 2010, Global Aspects of Ergodic Group Actions, vol. 160 Kida, 2014, Invariants of orbit equivalence relations and Baumslag–Solitar groups, Tohoku Math. J. (2), 66, 205, 10.2748/tmj/1404911861 Ozawa Păunescu, 2011, On sofic actions and equivalence relations, J. Funct. Anal., 261, 2461, 10.1016/j.jfa.2011.06.013 Păunescu, 2014, A convex structure on sofic embeddings, Ergod. Theory Dyn. Syst., 34, 1343, 10.1017/etds.2012.193