An AF algebra associated with the Farey tessellation
Operator Algebras
2008-06-21 v6 Number Theory
Quantum Algebra
Abstract
To the Farey tessellation of the upper half-plane we associate an AF algebra encoding the cutting sequences that define vertical geodesics. The Effros-Shen AF algebras arise as quotients of our algebra. Using the path algebra model for AF algebras we construct for each , projections in this algebra such that .
Cite
@article{arxiv.math/0511505,
title = {An AF algebra associated with the Farey tessellation},
author = {Florin P. Boca},
journal= {arXiv preprint arXiv:math/0511505},
year = {2008}
}
Comments
23 pages, 20 figures