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arXiv · 1009.0793

AF-algebras and topology of mapping tori

Igor Nikolaev
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Abstract

A covariant functor from the category of mapping tori to a category of AF-algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding AF-algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension 2, 3 and 4.

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Igor Nikolaev. 2010-09-04. AF-algebras and topology of mapping tori. https://doi.org/10.1007/s10587-015-0228-8

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