The K-Theoretic Bulk–Edge Correspondence for Topological Insulators

Chris Bourne, Johannes Kellendonk, Adam Rennie

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1833-1866
Number of pages34
JournalAnnales Henri Poincare
Issue number5
Publication statusPublished - 2017 May 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics


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