Khomology

General Introduction
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Search results
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
MR2231056 (2008b:58031) Benameur, MoulayTahar(FMETZ); Maghfoul, Mohamed Differential characters in $K$theory.
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Other Information
arXiv:1210.6420 Sheaf theory and Paschke duality fra arXiv Front: math.KT av John Roe, Paul Siegel Paschke duality identifies the Khomology of a space X with the Ktheory of a certain dual Calgebra. We show that Paschke's dual algebra is in a natural way the algebra of sections of a certain sheaf of Calgebras over X, which can be thought of as a sheaf of noncommutative symbols. This conceptually simplifies a number of constructions in Khomology, such as the association of a homology class to an elliptic operator and the construction of assembly maps.
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