Some prime factorization results for type II1 factors

• 成果类型: Article
• 署名作者: Ozawa, N; Popa, S
• 署名单位: University of Tokyo; University of California System; University of California Los Angeles
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-003-0338-z
• 发表日期: 2004
• 页码: 223-234
• 关键词: word hyperbolic groups; CLASSIFICATION; ALGEBRAS

摘要

We prove several unique prime factorization results for tensor products of type II1 factors coming from groups that can be realized either as subgroups of hyperbolic groups or as discrete subgroups of connected Lie groups of real rank 1. In particular, we show that if Rcircle timesLF(r 1) circle times...circle times LFr m is isomorphic to a subfactor in Rcircle timesLF(s 1) circle times...circle times LFs n, for some 2less than or equal tor(i), s(j)less than or equal toinfinity, then mless than or equal ton.