Growth of etale groupoids and simple algebras

Volodymyr Nekrashevych

Growth of etale groupoids and simple algebras

Rings and Algebras 2015-01-06 v1 Dynamical Systems Group Theory

Authors: Volodymyr Nekrashevych

Abstract

We study growth and complexity of \'etale groupoids in relation to growth of their convolution algebras. As an application, we construct simple finitely generated algebras of arbitrary Gelfand-Kirillov dimension $\ge 2$ and simple finitely generated algebras of quadratic growth over arbitrary fields.

Keywords

etale groupoids convolution algebras growth simple algebras gelfand-kirillov dimension finitely generated algebras

Cite

@article{arxiv.1501.00722,
  title  = {Growth of etale groupoids and simple algebras},
  author = {Volodymyr Nekrashevych},
  journal= {arXiv preprint arXiv:1501.00722},
  year   = {2015}
}

Comments

19 pages

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