Abstract
We introduce an algebraic version of the translation algebra of a group. We prove that a quasi-isometry of two finitely generated groups induces Morita equivalence of their algebraic translation algebras.
Citation
Hokuto Morishima. "On ring theoretic quasi-isometry invariants." Osaka J. Math. 50 (4) 871 - 895, December 2013.
Information
Published: December 2013
First available in Project Euclid: 9 January 2014
zbMATH: 1346.20056
MathSciNet: MR3161419
Subjects:
Primary:
20F65
Secondary:
22A22
Rights: Copyright © 2013 Osaka University and Osaka City University, Departments of Mathematics
