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Classifying Higher Rank Analytic Toeplitz Algebras

Stephen C Power

math.OAarXiv:math/0604630

Abstract

To a higher rank directed graph (Λ, d), in the sense of Kumjian and Pask, 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.

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