Index Theory and Topological Phases of Aperiodic Lattices

C. Bourne, B. Mesland

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We examine the non-commutative index theory associated with the dynamics of a Delone set and the corresponding transversal groupoid. Our main motivation comes from the application to topological phases of aperiodic lattices and materials and applies to invariants from tilings as well. Our discussion concerns semifinite index pairings, factorisation properties of Kasparov modules and the construction of unbounded Fredholm modules for lattices with finite local complexity.

Original languageEnglish
Pages (from-to)1969-2038
Number of pages70
JournalAnnales Henri Poincare
Volume20
Issue number6
DOIs
Publication statusPublished - 2019 Jun 1

ASJC Scopus subject areas

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

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