Equivalence and disintegration theorems for Fell bundles and their C*-algebras

Paul S. Muhly; Dana P. Williams

Displaying similar documents to “Equivalence and disintegration theorems for Fell bundles and their C*-algebras”

Principal bundles, groupoids, and connections

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We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry.

Principal fibre bundles with structural Lie groupoid.

Ivan, Gheorghe (2001)

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Twisted K-theory of differentiable stacks

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Universal connections on Lie groupoids.

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On the embedding of ...-algebras in groupoids.

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Morita equivalence of groupoid C*-algebras arising from dynamical systems

Xiaoman Chen, Chengjun Hou (2002)

Studia Mathematica

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We show that the stable C*-algebra and the related Ruelle algebra defined by I. Putnam from the irreducible Smale space associated with a topologically mixing expanding map of a compact metric space are strongly Morita equivalent to the groupoid C*-algebras defined directly from the expanding map by C. Anantharaman-Delaroche and V. Deaconu. As an application, we calculate the K⁎-group of the Ruelle algebra for a solenoid.