Ontology type: schema:ScholarlyArticle Open Access: True
2015-12
AUTHORS ABSTRACTThe paper studies applications of C*-algebras in geometric topology. Namely, 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. In conclusion, we consider two numerical examples illustrating our main results. More... »
PAGES1069-1083
http://scigraph.springernature.com/pub.10.1007/s10587-015-0228-8
DOIhttp://dx.doi.org/10.1007/s10587-015-0228-8
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