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T-duality simplifies bulk-boundary correspondence: the noncommutative case. (English) Zbl 1395.58008
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.

##### MSC:
 58B34 Noncommutative geometry (à la Connes) 46L80 $$K$$-theory and operator algebras (including cyclic theory) 53D22 Canonical transformations in symplectic and contact geometry 81V70 Many-body theory; quantum Hall effect 46L85 Noncommutative topology
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