AF-algebras and topology of mapping tori
Operator Algebras
2016-01-14 v4 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1009.0793,
title = {AF-algebras and topology of mapping tori},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:1009.0793},
year = {2016}
}
Comments
to appear Czechoslovak Math. J