| COMPLETELY BOUNDED COHOMOLOGY OF NON-SELFADJOINT OPERATOR ALGEBRAS |
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| 作者姓名： | 侯成军 魏翠萍 |
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| 作者单位： | Department of Mathematics Qufu Normal University，Institute of Operations Research Qufu Normal University Qufu 273165，China，Rizhao 276826，China |
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| 基金项目： | 国家自然科学基金，国家自然科学基金 |
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| 摘 要： | The authors prove that all n-th completely bounded cohomology groups of a nest algebra T(N) acting on a separable Hilbert space are trivial when the coefficients lie in any ultraweakly closed T(N)-bimodule containing the nest algebra. They also prove that Hcbn(A, M)(?)Hcbn(A, A) for all n≥1 and a CSL algebra A with an ultraweakly closed A-bimodule M containing A.
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| 关 键 词： | 完全有界上同调 非自伴算子 内丝特代数 CSL代数 |
| 收稿时间： | 2003-12-18 |
| 修稿时间： | 2006-04-26 |
Completely bounded cohomology of non-selfadjoint operator algebras |
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| Chengjun Hou,Cuiping Wei,.COMPLETELY BOUNDED COHOMOLOGY OF NON-SELFADJOINT OPERATOR ALGEBRAS[J].Acta Mathematica Scientia,2007,27(1):25-33. |
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| Authors: | Chengjun Hou Cuiping Wei |
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| Institution: | aDepartment of Mathematics, Qufu Normal University, Qufu 273165, China;bInstitute of Operations Research, Qufu Normal University, Rizhao 276826, China |
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| Abstract: | The authors prove that all n-th completely bounded cohomology groups of a nest algebra T(N) acting on a separable Hilbert space are trivial when the coefficients lie in any ultraweakly closed T(N)-bimodule containing the nest algebra. They also prove that Hcnb(A, M) (≌) Hcnb(A, A) for all n ≥ 1 and a CSL algebra A with an ultraweakly closed A-bimodule M containing A. |
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| Keywords: | Nest algebra CSL algebra completely bounded cohomology group |
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