منابع مشابه
Equivalence Relations with Amenable Leaves Need Not Be Amenable
There are two notions of amenability for discrete equivalence relations. The \global" amenability (which is usually referred to just as \amenability") is the property of existence of leafwise invariant means, which, by a theorem of Connes{Feldman{Weiss, is equivalent to hyperrniteness, or, to being the orbit equivalence relation of a Z-action. The notion of \local" amenability applies to equiva...
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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected].. Association for Symbolic Logic is collaborating with JSTO...
متن کاملOn binary relations without non-identical endomorphisms
We state two conjectures: k 2 (1) if k is an infinite cardinal number and cardtAt<t2 then there exists a relation RtctAtKtA which satisfies x,ytetA {x}tctA(x)tctA f:A(x)-----LA ttttAt Et At f is not a homomorphism of R, x$y cardtA(x)t<tk f(x)=y a sup{2t:aeCard,a<k} (2) if k$0 is a limit cardinal number and cardtAt<t2 then there exists a relation RtctAtKtA which satisfies x,ytetA {x}tctA(x)tctA ...
متن کاملAmenable Equivalence Relations and Turing Degrees
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected].. Association for Symbolic Logic is collaborating with JSTO...
متن کاملA Brief Introduction to Amenable Equivalence Relations
The notion of an amenable equivalence relation was introduced by Zimmer in the course of his analysis of orbit equivalence relations in ergodic theory (see [12]). Recently it played an important role in Monod’s striking family of examples of nonamenable groups which do not contain nonabelian free subgroups. If A is a subring of R, define H(A) to be the group of all piecewise PSL2(A) homeomorphi...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1994
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1994-1179396-3