中文摘要：

该文计算了两个指标的Cowen-Douglas算子的换位代数及换位代数的Jacobson根;证明了某一类强不可约的两个指标的Cowen-Douglas算子的换位代数具有本质可交换性,并证明了其换位代数的K_0群同构于整数群Z.

英文摘要：

In the paper,the authors caculate the commutant of Cowen-Douglas operator with two indexes and also the Jacobson radical of the commutant.And it is showed that the commutant of a strongly irreducible Cowen-Douglas operator with two indexes is essentially commutative by the tools of algebra techniques and spectral theory,and the K_0 group of the commutant is isomorphic to the integer group Z.