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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

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,â}.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 7, 1 April 2017, Pages 2697-2725
Journal: Journal of Functional Analysis - Volume 272, Issue 7, 1 April 2017, Pages 2697-2725
نویسندگان
Jan Cameron, Junsheng Fang, Kunal Mukherjee,