Exchange rings and real rank zero C*-algebras associated with finitely separated graphs
arXiv:1705.04494
Abstract
We introduce a generalisation of Condition (K) to finitely separated graphs and show that it is equivalent to essential freeness of the associated partial action as well as the exchange property of any of the associated tame algebras. As a consequence, we can show that any tame separated graph algebra with the exchange property is separative.
arXiv comment41 pages
References in corpus (5)
- Partial dynamical systems and C*-algebras generated by partial isometries
- Graph inverse semigroups, groupoids and their C*-algebras
- Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras
- Partial actions and KMS states on relative graph -algebras
- When universal edge-colored directed graph -algebras are exact