TY - JOUR
T1 - The K-Theoretic Bulk–Edge Correspondence for Topological Insulators
AU - Bourne, Chris
AU - Kellendonk, Johannes
AU - Rennie, Adam
N1 - Publisher Copyright:
© 2017, Springer International Publishing.
PY - 2017/5/1
Y1 - 2017/5/1
N2 - 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, where bulk and edge systems may be linked by a short exact sequence. We construct unbounded Kasparov modules encoding the dynamics of the crossed product. We then link bulk and edge Kasparov modules using the Kasparov product. Because of the anti-linear symmetries that occur in topological insulator models, real C∗-algebras and KKO-theory must be used.
AB - 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, where bulk and edge systems may be linked by a short exact sequence. We construct unbounded Kasparov modules encoding the dynamics of the crossed product. We then link bulk and edge Kasparov modules using the Kasparov product. Because of the anti-linear symmetries that occur in topological insulator models, real C∗-algebras and KKO-theory must be used.
UR - http://www.scopus.com/inward/record.url?scp=85008144275&partnerID=8YFLogxK
U2 - 10.1007/s00023-016-0541-2
DO - 10.1007/s00023-016-0541-2
M3 - Article
SN - 1424-0637
VL - 18
SP - 1833
EP - 1866
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 5
ER -