Back to Search
Start Over
The cycline subalgebra of a Kumjian-Pask algebra
- Source :
- Proc. Amer. Math. Soc. 145 (2017), no. 5, 1969-1980
- Publication Year :
- 2016
-
Abstract
- Let $\Lambda$ be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra $\mathcal{M}$ inside the Kumjian-Pask algebra ${\rm KP}_R(\Lambda)$. We also prove a generalized Cuntz-Krieger uniqueness theorem for Kumjian-Pask algebras which says that a representation of ${\rm KP}_R(\Lambda)$ is injective if and only if it is injective on $\mathcal{M}$.
- Subjects :
- Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Journal :
- Proc. Amer. Math. Soc. 145 (2017), no. 5, 1969-1980
- Publication Type :
- Report
- Accession number :
- edsarx.1603.00508
- Document Type :
- Working Paper