LOCAL AUTOMORPHISMS AND DERIVATIONS ON CERTAIN C ∗ -ALGEBRAS

LOCAL AUTOMORPHISMS AND DERIVATIONS ON CERTAIN C ∗ -ALGEBRAS
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发表时间:
2005
期刊:
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通讯作者:
O. C∗-ALGEBRAS;Sang Og Kim;S. Kim
O. C∗-ALGEBRAS;Sang Og Kim;S. Kim
中科院分区:
其他
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作者:
O. C∗-ALGEBRAS;Sang Og Kim;S. Kim

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.证明了AF C-代数上的连续2-局部导子是导子,素C-代数或C-代数上的满射2-局部 *-自同构是 *-自同构.
. It is shown that continuous 2-local derivations on AF C ∗ -algebras are derivations and surjective 2-local *-automorphisms on prime C ∗ -algebras or on C ∗ -algebras such that the identity element is properly infinite are *-automorphisms.