Cohomology of a class of Kadison-Singer algebras
佚名
【期刊名称】《中国科学》 【年(卷),期】2010(000)007
【摘要】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 of the nest algebra Alg(N ). We show that L is a Kadison-Singer lattice, and hence the corresponding algebra Alg(L) is a Kadison-Singer algebra. We also describe the center of Alg(L) and its commutator modulo itself, and show that every bounded derivation from Alg(L) into itself is inner, and all n-th bounded cohomology groups H n (Alg(L), B(H)) of Alg(L) with coefficients in B(H) are trivial for all n≥1. 【总页数】13页(P.1824-1836) 【
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Kadison-Singer;algebra;Kadison-
Singer;lattice;nest;algebra;cohomology;group 【作者】佚名 【作者单位】; 【正文语种】英文 【中图分类】N 【相关文献】
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Cohomology of a class of Kadison-Singer algebras
