SUBFACTOR

作品数：3被引量：4H指数：1
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相关领域：理学更多>>
相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>
相关基金：国家自然科学基金更多>>
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Maximal von Neumann subalgebras arising from maximal subgroups
《Science China Mathematics》2021年第10期2295-2312,共18页Yongle Jiang 
the National Science Center(NCN)(Grant No.2014/14/E/ST1/00525);Institute of Mathematics,Polish Academy of Sciences(IMPAN)from the Simons Foundation(Grant No.346300);the Matching 2015-2019 Polish Ministry of Science and Higher Education(MNiSW)Fund,and the Research Foundation-Flanders-Polish Academy of Sciences(FWO-PAN).
Ge(2003)asked the question whether LF∞can be embedded into LF2 as a maximal subfactor.We answer it affirmatively with three different approaches,all containing the same key ingredient:the existence of maximal subgrou...
关键词：maximal von Neumann subalgebra maximal subfactor maximal subgroup highly transitive action rigid subalgebra 
On a composition of subfactors with group subfactors
《Science China Mathematics》2021年第2期373-384,共12页Xiaoyu Hu Rui Shi Feng Xu 
supported by National Natural Science Foundation of China(Grant No.11871130);the Fundamental Research Funds for the Central Universities of China(Grant No.DUT18LK23);supported by National Natural Science Foundation of China(Grant No.11871150)。
Let M be a typeⅡ1 factor,G be a finite group,and N■M be an irreducible subfactor of finite index.We prove that the composed lattice of the intermediate subfactor lattice for the inclusion N■M and the subgroup latti...
关键词：SUBFACTOR typeⅡ1 factor LATTICE 
Conformal Quantum Field Theory and Subfactors被引量：4
《Acta Mathematica Sinica,English Series》2003年第3期557-566,共10页YasuyukiKAWAHIGASHI 
We survey a recent progress on algebraic quantum field theory in connection with subfactor theory. We mainly concentrate on one-dimensional conformal quantum field theory.
关键词：Algebraic quantum field theory Modular invariant SUBFACTOR Tensor category Virasoro algebra 
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