UHF-ALGEBRAS AND *-ISOMORPHISMS |
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引用本文: | Xie Huoan(颉火安. UHF-ALGEBRAS AND *-ISOMORPHISMS[J]. 数学年刊B辑(英文版), 1992, 13(2): 215-221 |
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作者姓名: | Xie Huoan(颉火安 |
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作者单位: | Department of |
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摘 要: | The following problem is discussed: If μ is an AF-algebra, A and B are two C-algebras, x(A) and x(B) are the unit balls of μ A and μ B respectively, and there is an affine isomorphism from X(A) onto x(B), when are A and B isomorphic? This problem was inspired by K-theory of C*-algebras. If μ is a UHP-algebra of type {m~p}, an orientation on x(A) and x(B), i. e., an action of the special group of μ, is introduced. Then it is obtained that if the affine isomorphism commutes with the group action then A and B are isomorphic.
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收稿时间: | 1990-05-04 |
UHF-AlGEBRAS AND *-ISOMORPHISMS |
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Affiliation: | department of mathematics,East China Normal University,Shanghai 200062,China. |
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Abstract: | The following problem is discussed:If $mu$ is an AF-algebra,A and B are two C^*-algebras,$H(A)$ and $H(B)$ are the unit balls of $mu bigotimes A$ and $mu bigotimes B$ respectively,and there is an affine isomorphism from H(A) onto H(B),when are A and B isomorphic?This problem was inspired by K-theory of C^*-algebras.If $mu$ is a UHF-algebra of type {m^p},an orientation on H(A) and H(B),i.e.,an action of the special group of $mu$ ,is introduced.Then it is obtained that if the affine isomorphism commutes with the group action then A and B are isomorphic. |
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