تقرير
Consequences of the random matrix solution to the Peterson-Thom conjecture
| العنوان: | Consequences of the random matrix solution to the Peterson-Thom conjecture |
|---|---|
| المؤلفون: | Hayes, Ben, Jekel, David, Elayavalli, Srivatsav Kunnawalkam |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Functional Analysis, Mathematics - Group Theory, Mathematics - Logic, Mathematics - Probability |
| الوصف: | In this paper we show various new structural properties of free group factors using the recent resolution (due independently to Belinschi-Capitaine and Bordenave-Collins) of the Peterson-Thom conjecture. These results include the resolution to the coarseness conjecture independently due to the first-named author and Popa, a generalization of Ozawa-Popa's celebrated strong solidity result using vastly more general versions of the normalizer (and in an ultraproduct setting), a dichotomy result for intertwining of maximal amenable subalgebras of interpolated free group factors, as well as application to ultraproduct embeddings of nonamenable subalgebras of interpolated free group factors. Comment: 25 pages, zero figures. This is the final version, to appear in Analysis & PDE |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.14109 |
| رقم الأكسشن: | edsarx.2308.14109 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |