an:06879918
Zbl 1395.58008
Hannabuss, Keith C.; Mathai, Varghese; Thiang, Guo Chuan
T-duality simplifies bulk-boundary correspondence: the noncommutative case
EN
Lett. Math. Phys. 108, No. 5, 1163-1201 (2018).
00388338
2018
j
58B34 46L80 53D22 81V70 46L85
T-duality; topological insulators; quantum Hall effect; defects; bulk-boundary correspondence; disorder; magnetic fields; H-flux; Connes-Thom isomorphism; Hall effect
The authors of this interesting paper use the ideas of the \(K\)-theory of \(C^*\)-algebras in the context of the higher-dimensional Hall effect. In particular, they show that the Connes-Thom isomorphisms are related to the so-called bulk-boundary correspondence arising in physics. The paper contains other examples of an interplay between noncommutative geometry and physics.
Igor V. Nikolaev (New York)