Growth of etale groupoids and simple algebras Academic Article

abstract

• We study growth and complexity of tale groupoids in relation to growth of their convolution algebras. As an application, we construct simple finitely generated algebras of arbitrary GelfandKirillov dimension [Formula: see text] and simple finitely generated algebras of quadratic growth over arbitrary fields.

authors

• Nekrashevych, Volodymyr

published proceedings

• INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION

author list (cited authors)

• Nekrashevych, V.

citation count

• 16

complete list of authors

• Nekrashevych, Volodymyr

publication date

• March 2016

publisher

• World Scientific Publishing  Publisher

keywords

• Etale Groupoids
• Gelfand-kirillov Dimension
• Growth Of Algebras

Digital Object Identifier (DOI)

• 10.1142/S0218196716500156

start page

• 375

end page

• 397

volume

• 26

issue

• 2

URL

• http://dx.doi.org/10.1142/s0218196716500156