| Covariant Projective Extensions |
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| 引用本文： | 许天周,梁洁. Covariant Projective Extensions[J]. 数学进展, 2003, 32(4): 506-508 |
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| 作者姓名： | 许天周 梁洁 |
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| 作者单位： | DepartmentofAppliedMathematics,BeijingInstituteofTechnology,Beijing,100081,P.R.China |
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| 摘 要： | The theory of crossed products of C~*-algebras by groups of automorphisms is a well-developed area of the theory of operator algebras. Given the importance and the success ofthat theory, it is natural to attempt to extend it to a more general situation by, for example,developing a theory of crossed products of C~*-algebras by semigroups of automorphisms, or evenof endomorphisms. Indeed, in recent years a number of papers have appeared that are concernedwith such non-classical theories of covariance algebras, see, for instance [1-3].
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| 关 键 词： | 协变射影扩张 C^＊代数 交叉乘积 半群 Hilbert空间 Calkin代数 动力系统 Stinespring膨胀定理 |
Covariant Projective Extensions |
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| Abstract: | The theory of crossed products of C*-algebras by groups of automorphisms is a well-developed area of the theory of operator algebras. Given the importance and the success ofthat theory, it is natural to attempt to extend it to a more general situation by, for example,developing a theory of crossed products of C*-algebras by semigroups of automorphisms, or evenof endomorphisms. Indeed, in recent years a number of papers have appeared that are concernedwith such non-classicaltheories of covariance algebras, see, for instance [1-3]. |
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