A connection in a differential module
Kazimierz Cegiełka (1976)
Colloquium Mathematicae
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Kazimierz Cegiełka (1976)
Colloquium Mathematicae
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Veronika Chrastinová, Václav Tryhuk (2002)
Mathematica Slovaca
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Tomasz Brzeziński (2012)
Banach Center Publications
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It is proven that every flat connection or covariant derivative ∇ on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that ∇ is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.
Veronika Chrastinová, Václav Tryhuk (2002)
Mathematica Slovaca
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Cap, Andreas, Schichl, Hermann
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The authors generalize a construction of Connes by defining for an -bundle over smooth manifold and a reduced cyclic cohomology class a sequence of de Rham cohomology classes . Here is a convenient algebra, defined by the authors, and is a locally trivial bundle with standard fibre a right finitely generated projective -module and bounded -modules homomorphisms as transition functions.