کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4666248 | 1633855 | 2012 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A class of II1 factors with many non conjugate Cartan subalgebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A class of II1 factors with many non conjugate Cartan subalgebras A class of II1 factors with many non conjugate Cartan subalgebras](/preview/png/4666248.png)
چکیده انگلیسی
We construct a class of II1 factors M that admit unclassifiably many Cartan subalgebras in the sense that the equivalence relation of being conjugate by an automorphism of M is complete analytic, in particular non Borel. We also construct a II1 factor that admits uncountably many non isomorphic group measure space decompositions, all involving the same group G. So G is a group that admits uncountably many non stably orbit equivalent actions whose crossed product II1 factors are all isomorphic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 231, Issues 3â4, OctoberâNovember 2012, Pages 2224-2251
Journal: Advances in Mathematics - Volume 231, Issues 3â4, OctoberâNovember 2012, Pages 2224-2251
نویسندگان
An Speelman, Stefaan Vaes,