| 非自伴算子代数的上同调群 |
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| 引用本文： | 陈培鑫,孙清莹.非自伴算子代数的上同调群[J].中国石油大学学报(自然科学版),1996(4). |
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| 作者姓名： | 陈培鑫 孙清莹 |
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| 作者单位： | 石油大学数理系 山东东营257062
(陈培鑫)，石油大学数理系 山东东营257062(孙清莹) |
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| 摘 要： | 设H是Hilbert空间,(?)是H上的子空间格且Vφ-只有有限个.当H=V{G:G是(?)的Vφ-生成子} 时.对一切自然数n,得到Hn(M(?),B(H))= 0,其中,(?)是(?)到(?)的格同态.特别地,取(?)为恒等映射时,对完全分配的子空间格(?)有Hn(alg(?),B(H))=0.设A是完全分配的CSL代数,M是任意含A的A- 模,则Hn (A,M)= 0.
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| 关 键 词： | 算子 V(?)-生成子 上同调群 alg(?)-模 |
ON THE COHOMOLOGY OF NON-SELFADJOINT OPERATOR ALGEBRAS |
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| Chen Peixin Sun Qingying.ON THE COHOMOLOGY OF NON-SELFADJOINT OPERATOR ALGEBRAS[J].Journal of China University of Petroleum,1996(4). |
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| Authors: | Chen Peixin Sun Qingying |
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| Abstract: | Suppose that H will denote a Hilbert space, ? will denote a subspace lattice on H, and the numbers containing V?generators are finite. when H = V{G: G is V?-generators of ?}, Hn (M?,B(H)) = 0 can be obtained for all natural numbers n, where ? is a lattice homomorphism ? into itself Especially, Hn(alg?, B(H)) = 0 exists for completely distributive subspace lattice ?. Suppose that ? is a completely distributive CSL (commutative subspace, lattice) M is any alg?-module containing alg?, then Hnalg?,M) = 0. |
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| Keywords: | Operator V(?)-Creation operator Cohomology group Alg(?)-module |
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