Combinatorial classification of quantum lens spaces
Operator Algebras
2018-12-26 v1 Combinatorics
Abstract
We answer the question of how large the dimension of a quantum lens space must be, compared to the primary parameter , for the isomorphism class to depend on the secondary parameters. Since classification results in C*-algebra theory reduces this question to one concerning a certain kind of -equivalence of integer matrices of a special form, our approach is entirely combinatorial and based on the counting of certain paths in the graphs shown by Hong and Szyma\'nski to describe the quantum lens spaces.
Cite
@article{arxiv.1701.04003,
title = {Combinatorial classification of quantum lens spaces},
author = {Peter Lunding Jensen and Frederik Ravn Klausen and Peter M. R. Rasmussen},
journal= {arXiv preprint arXiv:1701.04003},
year = {2018}
}
Comments
27 pages, 2 figures