English

Classifying Higher Rank Analytic Toeplitz Algebras

Operator Algebras 2007-05-23 v3

Abstract

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

Keywords

Cite

@article{arxiv.math/0604630,
  title  = {Classifying Higher Rank Analytic Toeplitz Algebras},
  author = {Stephen C Power},
  journal= {arXiv preprint arXiv:math/0604630},
  year   = {2007}
}

Comments

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