تقرير
Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups
| العنوان: | Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups |
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| المؤلفون: | Garncarek, Łukasz |
| المصدر: | Journal of Functional Analysis 270 (2016), pp. 1202-1219 |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Operator Algebras |
| الوصف: | The Hecke algebra $\mathbb{C}_q[W]$ of a Coxter group $W$, associated to parameter $q$, can be completed to a von Neumann algebra $\mathcal{N}_q(W)$. We study such algebras in case where $W$ is right-angled. We determine the range of $q$ for which $\mathcal{N}_q(W)$ is a factor, i.e. has trivial center. Moreover, in case of nontrivial center, we prove a result allowing to decompose $\mathcal{N}_q(W)$ into a finite direct sum of factors. Comment: 15 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.jfa.2015.11.014 |
| URL الوصول: | http://arxiv.org/abs/1502.02016 |
| رقم الأكسشن: | edsarx.1502.02016 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.jfa.2015.11.014 |
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