On the classification of full factors of type III

被引：20
|
作者：
Shlyakhtenko, D [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 10期
关键词：
D O I：
10.1090/S0002-9947-04-03457-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new invariant L(M) for type III factors M with no almost-periodic weights. We compute this invariant for certain free Araki-Woods factors. We show that Connes' invariant tau cannot distinguish all isomorphism classes of free Araki-Woods factors. We show that there exists a continuum of mutually non-isomorphic free Araki-Woods factors, each without almost-periodic weights.
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页码：4143 / 4159
页数：17
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