AF-algebras and topology of 3-manifolds
Geometric Topology
2013-08-09 v7 Algebraic Topology
Operator Algebras
Abstract
We construct a functor which maps conjugate pseudo-Anosov automorphisms of a surface to the so-called stably isomorphic stationary AF-algebras; the functor gives new topological invariants of three dimensional manifolds coming from the known invariants of the AF-algebras. The main invariant is a triple (L, [I], K), where L is an integral order in the real number field K and [I] the equivalence class of ideals in L.
Keywords
Cite
@article{arxiv.math/0110227,
title = {AF-algebras and topology of 3-manifolds},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0110227},
year = {2013}
}
Comments
15 pages, 1 figure