On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups

TL;DR

This paper explores the algebraic K- and L-theory of group rings for hyperbolic and virtually finitely generated abelian groups, providing insights into their algebraic structures.

Contribution

It offers new results on the K- and L-theory of group rings for these classes of groups, extending existing algebraic understanding.

Findings

Computed K-theory for hyperbolic groups

Analyzed L-theory for virtually finitely generated abelian groups

Established connections between group properties and algebraic invariants

Abstract

We investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.