SUBFACTORS

作品数：4被引量：5H指数：1
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相关领域：理学更多>>
相关期刊：《Science China Mathematics》《Acta Mathematica Sinica,English Series》更多>>
相关基金：国家自然科学基金更多>>
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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 
Non-commutative Rényi entropic uncertainty principles
《Science China Mathematics》2020年第11期2287-2298,共12页Zhengwei Liu Jinsong Wu 
supported by Templeton Religion Trust(Grant No.TRT0159);supported by National Natural Science Foundation of China(Grant No.11771413);Templeton Religion Trust(Grant No.TRT0159)。
In this paper,we calculate the norm of the string Fourier transform on subfactor planar algebras and characterize the extremizers of the inequalities for parameters 0
关键词：Rényi entropy uncertainty principles Fourier transform SUBFACTORS 
Block maps and Fourier analysis被引量：1
《Science China Mathematics》2019年第8期1585-1614,共30页Chunlan Jiang Zhengwei Liu Jinsong Wu 
supported by National Natural Science Foundation of China (Grant No. A010602);National Excellent Doctoral Dissertation of China (Grant No. 201116);supported by the Templeton Religion Trust (Grant Nos. TRT0080 and TRT0159);an AMS-Simons Travel Grant;supported by National Natural Science Foundation of China (Grant Nos. 11771413 and 11401554)
We introduce block maps for subfactors and study their dynamic systems. We prove that the limit points of the dynamic system are positive multiples of biprojections and zero. For the Z2 case, the asymptotic phenomenon...
关键词：SUBFACTORS FOURIER analysis planar ALGEBRAS BLOCK MAPS quantum GROUPS 
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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