Application of semifinite index theory to weak topological phases
Mathematical Physics
2018-05-02 v1 K-Theory and Homology
math.MP
Operator Algebras
Abstract
Recent work by Prodan and the second author showed that weak invariants of topological insulators can be described using Kasparov's -theory. In this note, a complementary description using semifinite index theory is given. This provides an alternative proof of the index formulae for weak complex topological phases using the semifinite local index formula. Real invariants and the bulk-boundary correspondence are also briefly considered.
Keywords
Cite
@article{arxiv.1612.01613,
title = {Application of semifinite index theory to weak topological phases},
author = {Chris Bourne and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:1612.01613},
year = {2018}
}
Comments
To appear in the conference proceedings from the MATRIX-program 'Refining C*-algebraic invariants for dynamics using KK-theory' in Creswick, Australia (2016)