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By using K-theory of AF-algebra, the paper characterized the automorphism group on the tensor product of the C(X) and the compact ideal when X is a tottaly disconnected compact Hausdoof space.

利用AF-代數的K-理論，本文還刻劃了當X是全不連通的緊致Hausdorff空間時，C（X）與緊算子理想的張量積的自同構群。