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(shù)的K-理論，本文還刻劃了當(dāng)X是全不連通的緊致Hausdorff空間時(shí)，C（X）與緊算子理想的張量積的自同構(gòu)群。