74 citations · 322 across the 15 of their papers we have counts for
Showing 2016 · math-phShow all
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math-ph2016★ 6 cited
Application of semifinite index theory to weak topological phases
Chris Bourne, Hermann Schulz-Baldes
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 descr…
math-ph2016★ 29 cited
Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases
Chris Bourne, Adam Rennie
In order to study continuous models of disordered topological phases, we construct an unbounded Kasparov module and a semifinite spectral triple for the crossed product of a separa…
math-ph2016★ 74 cited
The -theoretic bulk-edge correspondence for topological insulators
Chris Bourne, Johannes Kellendonk, Adam Rennie
We study the application of Kasparov theory to topological insulator systems and the bulk-edge correspondence. We consider observable algebras as modelled by crossed products, wher…