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| UHF-AlGEBRAS AND *-ISOMORPHISMS |
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Citation： |
Xie Huoan（颉火安）.UHF-AlGEBRAS AND *-ISOMORPHISMS[J].Chinese Annals of Mathematics B,1992,13(2):215~221 |
| Page view： 750
Net amount： 927 |
Authors： |
Xie Huoan（颉火安）; |
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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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