Classifying Higher Rank Analytic Toeplitz Algebras

Details Classifying Higher Rank Analytic Toeplitz Algebras Classifying Higher Rank Analytic Toeplitz Algebras

2006-04-28

arxiv.org/abs/math/0604630v3

Mathematics

Operator Algebras

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

Scientific paper

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.

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