| AF代数中子代数间等距代数同构的扩张 |
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| 引用本文： | 纪培胜. AF代数中子代数间等距代数同构的扩张[J]. 数学学报, 1996, 39(2): 160-165. DOI: cnki:ISSN:05831431.0.1996-02-002 |
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| 作者姓名： | 纪培胜 |
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| 作者单位： | 中国科学院数学研究所 |
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| 摘 要： | 本文证明了具有二次交换子性质的ＡＦ代数中的子代数间的等距代数同构可以扩张成其包络Ｃ＊代数的＊同构．由此肯定地回答了［４］中２．１２提出的问题．
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| 关 键 词： | 强不可约模，子代数，等距代数同构 |
| 收稿时间： | 1994-02-23 |
Extension of Isometrically Algebraic Isomorphism Between Two Subalgebras of AF Algebras |
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| Ji Peisheng. Extension of Isometrically Algebraic Isomorphism Between Two Subalgebras of AF Algebras[J]. Acta Mathematica Sinica, 1996, 39(2): 160-165. DOI: cnki:ISSN:05831431.0.1996-02-002 |
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| Authors: | Ji Peisheng |
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| Affiliation: | Ji Peisheng(Institute of Mathematics, Academia Sinica, Beijing 100080, China) |
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| Abstract: | In this paper, we prove that the isometrically algebraic isomorphism between two subalgebras of AF algebras with property of double commutant can be extended to an * isomorphism between their enveloping C* algebras. Consequently, the problem raised from [4] Remark2.12 can be solved affirmatively. |
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| Keywords: | strongly irreducible module subalgebra isometrically algebraic isomorphism. |
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