交换von Neumann代数的局部n-上循环
Local n-cocycles of Abelian von Neumann Algebras
摘要
证明交换von Neumann代数到其单位Banach双模内的每个正则局部n-上循环都是n-上循环.
We show that every regular local n-cocycle of an abelian von Neumann algebra with coefficients in a unital Banach bimodule is an n-cocycle.
出处
《应用泛函分析学报》
CSCD
2009年第4期309-313,共5页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10201007
A0324614)
山东省自然科学基金(Y2006A03)
曲阜师范大学青年基金(xj0502)
参考文献7
-
1Kadison R V. Localderivation[J]. Journal of Algebra,1990,(130):494 -509.
-
2Larson D R, Sourour A R. Local derivations and local automorphisms of B(X)[J]. Proceedings Symposia in Pure Mathematics,1990,51(2) :187-193.
-
3Johnson B E, Kadison R V, Ringrose J R. Cohomology of operator algebras: Ⅲ. Reduction to nomal cohomology[J]. Bull Soc Math France,1972,(100):73-96.
-
4Kadison R V, Ringrose J R. Cohomology of operator algebras: Ⅰ. Type Ivon Neumann algebras[J]. Acta Math,1971, (126) :227-243.
-
5Kadison R V, Ringrose J R. Cohomology of operator Mgebras: Ⅱ. Extended eobounding and the hyperfinite case[J]. Ark Math, 1971.(9):55-63.
-
6Zhang J H. Local 2 -cocyles[J]. Appl Math J Chinese Univ, Ser. B, 2002,(17):284-290.
-
7侯成军,付本银.Von Neumann代数的局部3-上循环[J].中国科学（A辑）,2007,37(4):414-424. 被引量：1
二级参考文献1
-
1Zhang JianhuaFaculty of Science,Xi’an Jiaotong University,Xi’an 710049,China. College of Math. and Inform. Sci., Shaanxi Normal Univ., Xi’an 710062,China..LOCAL 2-COCYCLES[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(3):284-290. 被引量：2
