A Planar Calculus for Infinite Index Subfactors

被引：6
|
作者：
Penneys, David [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 319卷 / 03期
关键词：
VON-NEUMANN-ALGEBRAS; KAC ALGEBRAS; INCLUSIONS; CLASSIFICATION; SPACES;
D O I：
10.1007/s00220-012-1627-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop an analog of Jones' planar calculus for II1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.
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页码：595 / 648
页数：54
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