Inner amenability, property Gamma, McDuff factors and stable equivalence relations
نویسندگان
چکیده
منابع مشابه
Thin equivalence relations and inner models
We describe the inner models with representatives in all equivalence classes of thin equivalence relations in a given projective pointclass of even level assuming projective determinacy. These models are characterized by their correctness and the property that they correctly compute the tree from the appropriate scale. The main lemma shows that the tree from a scale can be reconstructed in a ge...
متن کاملFUZZY SUBGROUPS AND CERTAIN EQUIVALENCE RELATIONS
In this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group G and give four equivalent conditions each ofwhich characterizes this relation. We demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. Moreover, we study the behavior of these equivalence classes under theaction of a...
متن کاملAmenability and the Liouville Property
We present a new approach to the amenability of groupoids (both in the measure theoretical and the topological setups) based on using Markov operators. We introduce the notion of an invariant Markov operator on a groupoid and show that the Liouville property (absence of non-trivial bounded harmonic functions) for such an operator implies amenability of the groupoid. Moreover, the groupoid actio...
متن کاملRelations and Equivalence Relations
In this section, we shall introduce a formal definition for the notion of a relation on a set. This is something we often take for granted in elementary algebra courses, but is a fundamental concept in mathematics i.e. the very notion of a function relies upon the definition of a relation. Following this, we shall discuss special types of relations on sets. 1. Binary Relations and Basic Definit...
متن کاملThe {L}aczkovich - {K}omjáth property for coanalytic equivalence relations
Let E be a coanalytic equivalence relation on a Polish space X and (An)n∈ù a sequence of analytic subsets of X . We prove that if lim supn∈K An meets uncountably many E-equivalence classes for every K ∈ [ù] , then there exists a K ∈ [ù] such that T n∈K An contains a perfect set of pairwise E-inequivalent elements. §
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2017
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2016.135