几类代数的K-群

The Κ-groups of Algebras

计算了代数я(D)={f:f在开圆D盘上解析,在■上连续}的K_0群,讨论了内射单边加权移位算子的伴随算子的性质,证明了是强不可约的Cowen-Douglas算子,然后计算出的换位代数的K_0群.

We compute the Ko-group of the algebra A（D）={f： f is analytic in the open diskD and continuous in the D^-. We discuss the properties of the adjoint operator Tofunilateral weighted shift, prove that Tis a strongly irreducible Cowen-Douglas operator, and compute the K0-group of the commutant algebra of T.