Given an r-discrete, principal and amenable groupoid, the bijective correspondence between the family c the closedC o(G 0)-bimodules ofC(G) and the family of the open subsets of the groupoidG is established. More over...Given an r-discrete, principal and amenable groupoid, the bijective correspondence between the family c the closedC o(G 0)-bimodules ofC(G) and the family of the open subsets of the groupoidG is established. More over they are rigidity.展开更多
The structure of the groupoid G associated with the Toeplitz C* -algebra C*(Ω) of the L-shaped domain is discussed. The detailed characterization of M∞ by the classification of the closed subgroup of the Euclidean s...The structure of the groupoid G associated with the Toeplitz C* -algebra C*(Ω) of the L-shaped domain is discussed. The detailed characterization of M∞ by the classification of the closed subgroup of the Euclidean space is presented.展开更多
文摘Given an r-discrete, principal and amenable groupoid, the bijective correspondence between the family c the closedC o(G 0)-bimodules ofC(G) and the family of the open subsets of the groupoidG is established. More over they are rigidity.
基金Project supported partially by the National Natural Science Foundation of China,Fok Yingtung Educational Foundation and the Foundation of the Stare Education Commission of China.
文摘The structure of the groupoid G associated with the Toeplitz C* -algebra C*(Ω) of the L-shaped domain is discussed. The detailed characterization of M∞ by the classification of the closed subgroup of the Euclidean space is presented.