کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582375 1333794 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions
چکیده انگلیسی

We give an elementary proof for Lewis Bowen’s theorem saying that two Bernoulli actions of two free groups, each having arbitrary base probability spaces, are stably orbit equivalent. Our methods also show that for all compact groups KK and every free product ΓΓ of infinite amenable groups, the factor Γ↷KΓ/KΓ↷KΓ/K of the Bernoulli action Γ↷KΓΓ↷KΓ by the diagonal KK-action is isomorphic with a Bernoulli action of ΓΓ.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 31, Issue 3, 2013, Pages 274–294
نویسندگان
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