Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups

详细信息    查看全文

• 作者：Łukasz Garncarek ^{lukgar@impan.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：20C08 ; 46L10
• 刊名：Journal of Functional Analysis
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：270
• 期：3
• 页码：1202-1219
• 全文大小：415 K

文摘

The Hecke algebra C_q[W]${\mathbb{C}}_q[W]$ of a Coxeter group W, associated to parameter q  , can be completed to a von Neumann algebra N_q(W)${\mathcal{N}}_q(W)$. We study such algebras in case where W is right-angled. We determine the range of q   for which N_q(W)${\mathcal{N}}_q(W)$ is a factor, i.e. has trivial center. Moreover, in case of nontrivial center, we prove a result allowing to decompose N_q(W)${\mathcal{N}}_q(W)$ into a finite direct sum of factors.