Cycline subalgebras of $k$-graph C*-algebras

Abstract

In this paper, we prove that the cycline subalgbra of a $k$-graph C*-algebra is maximal abelian, and show when it is a Cartan subalgebra (in the sense of Renault).

12 pages; to appear in PAMS

References in corpus (4)

• The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources
• Representations of Higher Rank Graph Algebras
• Type III von Neumann Algebras associated with ${Ø}_{\theta }$
• Periodic higher rank graphs revisited