摘要
Recently,a class of Type Ⅱ factors has been constructed,arising from holomorphic coverings of bounded planar domains.Those operators in Type Ⅱ factors act on the Bergman space.In this paper,we develop new techniques to generalize those results to the case of the weighted Bergman spaces.In addition,a class of group-like von Neumann algebras are constructed,which are shown to be-isomorphic to the group von Neumann algebras.
Recently, a class of TypeⅡfactors has been constructed, arising from holomorphic coverings of bounded planar domains. Those operators in Type Ⅱ factors act on the Bergman space. In this paper, we develop new techniques to generalize those results to the case of the weighted Bergman spaces. In addition, a class of group-like von Neumann algebras are constructed, which are shown to be ＊-isomorphic to the group von Neumann algebras.
基金
supported by National Natural Science Foundation of China (Grant No.11001078)
Shanghai Municipal Education Commission and Shanghai Education Development Foundation (GrantNo. 11CG30)
