Skip to main content
Open Access Publications from the University of California

UC San Diego

UC San Diego Electronic Theses and Dissertations bannerUC San Diego

Isoperimetric profile of algebras


The main topic of this thesis is the isoperimetric profile of algebras, introduced by Gromov in [21]. This is an asymptotic geometric invariant of algebras which has a strong connection with the property of amenability. We pursue a systematic study of this invariant, which will lead us to new insights into the phenomenon of amenability of algebras. Also, we show the connections of the isoperimetric profile with other invariant of algebras, like the GK-dimension, the growth and the lower transcendence degree. We will use our tools to provide answers to some questions on these topics

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View