Classifying Higher Rank Analytic Toeplitz Algebras

Abstract

To a higher rank directed graph $(\Lambda ,d)$, 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.

Includes comment on related joint work with Baruch Solel and minor changes. 35 pages.

References in corpus (4)

• Higher rank graph C*-algebras
• Free Semigroupoid Algebras
• Ideal Structure in Free Semigroupoid Algebras from Directed Graphs
• Interpolation in Semigroupoid Algebras

Cited by in corpus (5)

• Representations of Higher Rank Graph Algebras
• Poisson transform for higher-rank graph algebras and its applications
• Aperiodicity and the primitive ideal space of a row-finite $k$-graph $C^{\ast }$-algebra
• Finitely Correlated Representations of Product Systems of $C^{\ast }$-Correspondences over ${\mathbb{N}}^k$
• Nonself-adjoint 2-graph algebras