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C*-Algebras, Gelfand–Kirillov Dimension, and Følner Sets

✍ Scribed by A.Y. Samet-Vaillant

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
167 KB
Volume
171
Category
Article
ISSN
0022-1236

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We construct, for every real /3 > 2, a primitive affine algebra with Gelfand Kirillov dimension /3. Unlike earlier constructions, there are no assumptions on the base field. In particular, this is the first construction over N or C. Given a recursive sequence {v,} of elements in a free monoid, we in

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Let A be a three dimensional Artin᎐Schelter regular algebra. We give a description of the category of finitely generated A-modules of Gelfand᎐Kirillov Ž . dimension one modulo those of finite dimension over the ground field . The proof is based upon a result by Gabriel which says that locally finite