کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772226 1413353 2017 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mixing and weakly mixing abelian subalgebras of type II1 factors
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Mixing and weakly mixing abelian subalgebras of type II1 factors
چکیده انگلیسی
This paper studies weakly mixing (singular) and mixing masas in type II1 factors from a bimodule point of view. Several necessary and sufficient conditions characterizing the normalizing algebra of a masa are presented. We study the structure of mixing inclusions, with special attention paid to masas of product class. A recent result of Jolissaint and Stalder concerning mixing masas arising out of inclusions of groups is revisited. One consequence of our structural results rules out the existence of certain Koopman-realizable measures arising from semidirect products which are absolutely continuous, but not Lebesgue. We also show that there exist uncountably many pairwise non-conjugate mixing masas in the free group factors each with Pukánszky invariant {1,∞}.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 7, 1 April 2017, Pages 2697-2725
نویسندگان
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