A new construction of factors of type III₁

详细信息    查看全文

• 作者：Cyril Houdayer
• 关键词：Factors of type III ; Full factors ; Continuous decomposition
• 刊名：Journal of Functional Analysis
• 出版年：2007
• 出版时间：15 January 2007
• 年：2007
• 卷：242
• 期：2
• 页码：375-399
• 全文大小：290 K

文摘

We give in this paper a new construction of factors of type III₁. Under certain assumptions, we can, thanks to a result by Popa, give a complete classification for this family of factors. Although these factors are never full, we can nevertheless, in many cases, compute Connes' τ invariant. We obtain a new example of an uncountable family of pairwise non-isomorphic factors of type III₁ with the same τ invariant.