The Quantum Pair of Pants
Operator Algebras
2015-02-11 v3
Abstract
We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the -algebra generated by that operator. The algebra can be considered as the quantum pair of pants.
Cite
@article{arxiv.1410.0733,
title = {The Quantum Pair of Pants},
author = {Slawomir Klimek and Matt McBride and Sumedha Rathnayake and Kaoru Sakai},
journal= {arXiv preprint arXiv:1410.0733},
year = {2015}
}