کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896664 1630594 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On diagonal actions of branch groups and the corresponding characters
ترجمه فارسی عنوان
در فعالیت های مورب گروه های شاخه و شخصیت های مربوطه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We introduce notions of absolutely non-free and perfectly non-free group actions and use them to study the associated unitary representations. We show that every weakly branch group acting on a regular rooted tree acts absolutely non-freely on the boundary of the tree. Using this result and the symmetrized diagonal actions we construct for every countable branch group infinitely many different ergodic perfectly non-free actions, infinitely many II1-factor representations, and infinitely many continuous ergodic invariant random subgroups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 274, Issue 11, 1 June 2018, Pages 3033-3055
نویسندگان
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