Toeplitz extensions in noncommutative topology and mathematical physics
Operator Algebras
2022-01-12 v1 Mathematical Physics
K-Theory and Homology
math.MP
Abstract
We review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov's bivariant K-theory. We then discuss the recent applications of Toeplitz algebras in the study of solid state systems, focusing in particular on the bulk-edge correspondence for topological insulators.
Cite
@article{arxiv.1911.05823,
title = {Toeplitz extensions in noncommutative topology and mathematical physics},
author = {Francesca Arici and Bram Mesland},
journal= {arXiv preprint arXiv:1911.05823},
year = {2022}
}
Comments
18 pages