K-theory for real k-graph C∗-algebras

Jeffrey L. Boersema, Elizabeth Gillaspy

Research output: Contribution to journalArticlepeer-review

Abstract

We initiate the study of real C ∗-algebras associated to higher-rank graphs Λ, with a focus on their K-theory. Following Kasparov and Evans, we identify a spectral sequence which computes the CR K-theory of CR∗ (Λ, γ) for any involution γ on Λ, and show that the E 2 page of this spectral sequence can be straightforwardly computed from the combinatorial data of the k-graph Λ and the involution γ. We provide a complete description of KCR(CR∗ (Λ, γ)) for several examples of higher-rank graphs Λ with involution.

Original languageEnglish
Pages (from-to)395-440
Number of pages46
JournalAnnals of K-Theory
Volume7
Issue number2
DOIs
StatePublished - 2022

Keywords

  • Higher rank graphs
  • K-theory
  • Real C ∗-algebras

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