AFalgebras and topology of 3manifolds
Abstract
We construct a functor which maps conjugate pseudoAnosov automorphisms of a surface to the socalled stably isomorphic stationary AFalgebras; the functor gives new topological invariants of three dimensional manifolds coming from the known invariants of the AFalgebras. 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2001
 arXiv:
 arXiv:math/0110227
 Bibcode:
 2001math.....10227N
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Algebraic Topology;
 Mathematics  Operator Algebras;
 19K;
 46L;
 57M
 EPrint:
 15 pages, 1 figure