22 JONATHAN ROSENBERG AND CLAUDE SCHOCHET
possible in the case of G = Tn and, in particular, if G = T.
COROLLARY 2.10. Suppose that G is a torus (of any dimension). Let
F be the collection of G-algebras of the form C(G/H,w), where H
is a closed subgroup of G and w is a G/H cocycle. Then F is a
CQ-fundamental family.
PROOF: This follows from Theorems 2.5 and 2.8.
COROLLARY 2.11. If G = T, the G-algebras of the form C(G/H) ,
where H = {1}, Z , or G, are a CQ-fundamental family.
2
PROOF: For any closed subgroup HofT, HM(H,T) =0. a
COROLLARY 2.12. If G = T, then BQ = CQ/ and if G = S0(2), then
^G - CG-
PROOF; This is a restatement of (2.11). D
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