A von Neumann algebraic approach to self-similar group actions
نویسندگان
چکیده
منابع مشابه
Deformation and rigidity for group actions and von Neumann algebras
We present some recent rigidity results for von Neumann algebras (II1 factors) and equivalence relations arising from measure preserving actions of groups on probability spaces which satisfy a combination of deformation and rigidity properties. This includes strong rigidity results for factors with calculation of their fundamental group and cocycle superrigidity for actions with applications to...
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Self-similar group actions (or self-similar groups) have proved to be interesting mathematical objects from the point of view of group theory and from the point of view of many other fields of mathematics (operator algebras, holomorphic dynamics, automata theory, etc). See the works [BGN02, GNS00, Gri00, Sid98, BG00, Nek02a], where different aspects of self-similar groups are studied. An import...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2019
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x19500745