| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598142 | Journal of Pure and Applied Algebra | 2006 | 11 Pages |
Abstract
We give necessary and sufficient conditions on a row-finite graph EE so that the Leavitt path algebra L(E)L(E) is purely infinite simple. This result provides the algebraic analog to the corresponding result for the Cuntz–Krieger C∗C∗-algebra C∗(E)C∗(E) given in [T. Bates, D. Pask, I. Raeburn, W. Szymański, The C∗C∗-algebras of row-finite graphs, New York J. Math. 6 (2000) 307–324].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gene Abrams, Gonzalo Aranda Pino,