Representations of higher-rank graph C-algebras associated to Λ-semibranching function systems

Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we discuss a method of constructing separable representations of the C-algebras associated to strongly connected row-finite k-graphs Λ. We begin by giving an alternative characterization of the Λ-semibranching function systems introduced in an earlier paper, with an eye towards constructing such representations that are faithful. Our new characterization allows us to more easily check that examples satisfy certain necessary and sufficient conditions. We present a variety of new examples relying on this characterization. We then use some of these methods and a direct limit procedure to identify a faithful separable representation for any row-finite source-free k-graph.

Original languageEnglish
Pages (from-to)766-798
Number of pages33
JournalJournal of Mathematical Analysis and Applications
Volume468
Issue number2
DOIs
StatePublished - Dec 15 2018

Keywords

  • C-algebras
  • Markov measures
  • Perron–Frobenius
  • Representations
  • k-graphs
  • Λ-semibranching function systems

Fingerprint

Dive into the research topics of 'Representations of higher-rank graph C-algebras associated to Λ-semibranching function systems'. Together they form a unique fingerprint.

Cite this