# A necessary condition for zero divisors in complex group algebra of torsion-free groups

## TL;DR

This paper establishes a necessary condition for the existence of zero divisors in the complex group algebra of torsion-free groups, advancing understanding of algebraic structures in group theory.

## Contribution

It introduces a new necessary condition for zero divisors specifically in complex group algebras of torsion-free groups, which was previously unknown.

## Key findings

- Identifies a specific necessary condition for zero divisors.
- Provides insights into the algebraic structure of torsion-free groups.
- Advances theoretical understanding of group algebra properties.

## Abstract

We find a necessary condition for zero divisors in complex group algebras of torsion-free groups.