Sz. Yan et al., SUBMODULES OF THE GROUPOID C-ASTERISK-ALGEBRA, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(4), 1998, pp. 379-385
Given an r-discrete, principal and amenable groupoid, the bijective co
rrespondence between the family of the closed C-0( G(0))-bimodules of
C(G) and the family of the open subsets of the groupoid G is establis
hed. Moreover they are rigidity.