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A differentiable structure for a bundle ofC∗-algebras associated with a dynamical system

1995
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Pacific Journal of Mathematics
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Let (M,G) be a difFerentiable dynamical system, and σ be a transverse action for (M,G). We have a differentiable bundle (B, π, M, C) of C*-algebras with respect to a flat family T σ of local coordinate systems and we have a flat connection V in B. If G is connected, the bundle B is a disjoint union of p x (C*(Q)) (x € M), where Q is the groupoid associated with (M, G) and p x is the regular representation of C*{9). We show that, for /EC c°°( 5),a cross section cs(f) : x H-> ρ x (f) is

doi:10.2140/pjm.1995.168.291
fatcat:vas7dlfdizb2vpc2fta4vt2som