摘要
设 G=（A,△）为紧矩阵量子群,G为A的所有有限维光滑的、不可约余表示等价类的集合.本文通过（A,△）的一个余表示Vo构造了两个相互配对的集合,利用Hilbert C＊-模的理论证明它们分别为A和Baaj与Skandalis构造的量子群A,并且证明了对任意的α∈G,在A中都对应一个有限维投影算子Pα,满足 dim（α）=dim（pα）.
Abstract Let G = (A, A) be a compact matrix quantum group, G the equivalent set of all finite, smooth, irreducible corepresentations of A. In this paper, via a special corepresentation V0 of A, we construct a pair of sets, and using the theory of Hilbert C*-module, we prove that they are exactly A and A respectively, where A corresponds to Baaj and Skandalis-construction. We also prove that for any a ? G there exists a projective operator pa in A such that dim(α) = dim(pα).
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2002年第6期1149-1156,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目
