Toric AF-algebras and faithful representation of the mapping class groups
Algebraic Geometry
2013-08-09 v9 Operator Algebras
Abstract
There exists a covariant non-injective functor from the space of generic Riemann surfaces to the so-called toric AF-algebras; such a functor maps isomorphic Riemann surfaces to the stably isomorphic toric AF-algebras. We use the functor to construct a faithful representation of the mapping class group of surface of genus g>1 into the matrix group GL(6g-6, Z).
Keywords
Cite
@article{arxiv.math/0111173,
title = {Toric AF-algebras and faithful representation of the mapping class groups},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0111173},
year = {2013}
}
Comments
10 pages, 1 figure; revised to death