# Two versions of the uniform Roe algebras for spaces without bounded geometry

## TL;DR

This paper explores two variants of uniform Roe algebras associated with spaces lacking bounded geometry, analyzing their properties to understand their differences and implications.

## Contribution

It introduces and compares two versions of uniform Roe algebras for spaces without bounded geometry, a topic less studied in existing literature.

## Key findings

- Both algebra versions exhibit distinct properties.
- The paper clarifies the structural differences between the two algebras.
- Insights into the implications for coarse geometry are provided.

## Abstract

We consider two versions of the uniform Roe algebra for uniformly discrete spaces without bounded geometry and discuss some of their properties.