| 强自吸收C＊-代数若干问题研究 |
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| 引用本文： | 方小春,韩涛,杨新兵.强自吸收C＊-代数若干问题研究[J].青岛大学学报(自然科学版),2008,21(3):4-7. |
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| 作者姓名： | 方小春 韩涛 杨新兵 |
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| 作者单位： | 同济大学数学系,上海,200092 |
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| 摘 要： | 用简明的方法证明了可分的有单位元的强自吸收的C＊-代数是逼近内翻转的C＊-代数,同时给出C＊-代数强自吸收的等价定义。设A为可数的C＊-代数,D可数的有单位元的强自吸收的K1-单的C＊-代数,证明了A与A D同构的两个等价条件。
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| 关 键 词： | 强自吸收 逼近内翻转 逼近内半翻转 渐进＊-同态 |
Study on Several Problems About Strongly Self Absorbing C* Algebras |
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| FANG Xiao-chun,HAN Tao,YANG Xin-bing.Study on Several Problems About Strongly Self Absorbing C* Algebras[J].Journal of Qingdao University(Natural Science Edition),2008,21(3):4-7. |
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| Authors: | FANG Xiao-chun HAN Tao YANG Xin-bing |
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| Institution: | (Department of Mathematics, Tongji University, Shanghai 200092, China) |
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| Abstract: | In this paper,it is proved that a separable unital strongly self-absorbing C＊-algebra is approxi- mately inner flip directly, and brained that a new equivalent definition of strongly self-absorbing according to interrelated definitions and theorems. Suppose A is a separable C＊-algebra and D is a separable unital strongly self-absorbing Ki-injective C＊ -algebra. it is proved that two threoms showing A is isomorphic to A×D are equivalent. |
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| Keywords: | strongly self-absorbing approximately inner flip approximately inner half flip asymptotic ＊ - homomorphism |
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