New York Journal of Mathematics
Volume 13 (2007) 271-298


Stephen C. Power

Classifying higher rank analytic Toeplitz algebras

Published: August 16, 2007
Keywords: Higher rank graph, Fock space, analytic Toeplitz algebra, semigroupoid algebra, classification
Subject: 47L55, 47L75, 47L80

To a higher rank directed graph (Λ, d), in the sense of Kumjian and Pask, 2000, one can associate natural noncommutative analytic Toeplitz algebras, both weakly closed and norm closed. We introduce methods for the classification of these algebras in the case of single vertex graphs.

Author information

Department of Mathematics and Statistics, Lancaster University, Lancaster, United Kingdom LA1 4YF