Abstract
We associate C ∗ C^* -algebras to infinite directed graphs that are not necessarily locally finite. By realizing these algebras as Cuntz-Krieger algebras in the sense of Exel and Laca, we are able to give criteria for their uniqueness and simplicity, generalizing results of Kumjian, Pask, Raeburn, and Renault for locally finite directed graphs.
Cite
CITATION STYLE
APA
Fowler, N., Laca, M., & Raeburn, I. (1999). The 𝐶*-algebras of infinite graphs. Proceedings of the American Mathematical Society, 128(8), 2319–2327. https://doi.org/10.1090/s0002-9939-99-05378-2
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
Already have an account? Sign in
Sign up for free