国家自然科学基金(A0324614)

作品数：5被引量：4H指数：1
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相关期刊：《Science China Mathematics》《中国科学：数学》《Acta Mathematica Sinica,English Series》更多>>
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Cohomology of a class of Kadison-Singer algebras被引量：3
《Science China Mathematics》2010年第7期1824-1836,共13页HOU ChengJun Institute of Operations Research, Qufu Normal University, Rizhao 276826, China 
supported by National Natural Science Foundation of China(Grant No. A0324614, 10971117);the Natural Science Foundation of Shandong Province (Grant No. Y2006A03,ZR2009AQ005)
Let L be the complete lattice generated by a nest N on an infinite-dimensional separable Hilbert space H and a rank one projection P ξ given by a vector ξ in H. Assume that ξ is a separating vector for N , the core...
关键词：Kadison-Singer ALGEBRA Kadison-Singer lattice NEST ALGEBRA COHOMOLOGY group 
一类Kadison-Singer代数的上同调被引量：1
《中国科学：数学》2010年第2期169-182,共14页侯成军 
国家自然科学基金(批准号:A0324614;10971117);山东省自然科学基金(批准号:Y2006A03;ZR2009AQ005)资助项目
设C为无限维可分Hilbert空间H上的套N和秩一投影P_ξ所生成的完备格,其中P_ξ表示H到非零向量ξ生成一维子空间上的正交投影.假设ξ为由N生成的von Neumann代数N″的分离向量,本文证明L是个Kadison-Singer格,从而相应的不变子空间格代数...
关键词：Kadison-Singer代数 Kadison-Singer格 套代数 上同调群 
On maximal injective subalgebras in a wΓ factor
《Science China Mathematics》2008年第11期2089-2096,共8页HOU ChengJun School of Mathematical Sciences, Qufu Normal University, Shandong 273165, China 
the National Natural Science Foundation of China (Grant Nos. 10201007, A0324614);the Natural Science Foundation of Shandong Province (Grant No. Y2006A03)
Let $ \mathcal{L} $ (F ?) × α ? be the crossed product von Neumann algebra of the free group factor $ \mathcal{L} $ (F ?), associated with the left regular representation λ of the free group F ? with the set {u r :...
关键词：von Neumann algebra maximal injective subalgebra crossed product wΓ factor 46L10 
The Pressure in Operator Algebras
《Acta Mathematica Sinica,English Series》2008年第6期983-996,共14页Cheng Jun HOU 
the NNSF of China (Grant No.A0324614);NSF of Shandong (Grant No.Y2006A03);NSF of QFNU (Grant No.xj0502)
We introduce two notions of the pressure in operator algebras, one is the pressure Pα（π, T） for an automorphism α of a unital exact C^＊-algebra A at a self-adjoint element T in A with respect to a faithful unit...
关键词：exact C^＊-algebra hyperfinite von Neumann algebra ENTROPY PRESSURE crossed product 
Local 3-cocycles of von Neumann algebras
《Science China Mathematics》2007年第9期1240-1250,共11页Cheng-jun HOU~(1+) Ben-yin FU~2 1 School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China 2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China 
This work was partially supported by the National Natural Science Foundation of China (Grant Nos.10201007 and A0324614);the Natural Science Foundation of Shandong Province (Grant No.Y2006A03)
We show that every local 3-cocycle of a von Neumann algebra $\mathcal{R}$ into an arbitrary unital dual $\mathcal{R}$ -bimodule $\mathcal{S}$ is a 3-cocycle.
关键词：von Neumann algebra dual bimodule local 3-cocycle 3-cocycle 46L10 
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