 

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 


Abstract
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
s.power@lancaster.ac.uk

