# Semigroup C*-algebras and toric varieties

## TL;DR

This paper derives a general formula for the K-theory of the left regular C*-algebra associated with finitely generated subsemigroups of Z^2, linking algebraic structures to geometric objects.

## Contribution

It provides a new explicit formula for the K-theory of semigroup C*-algebras in the context of Z^2 subsemigroups, connecting algebraic and geometric aspects.

## Key findings

- Explicit K-theory formula for semigroup C*-algebras
- Connection between algebraic structures and toric varieties
- Advancement in understanding semigroup C*-algebras

## Abstract

Let S be a finitely generated subsemigroup of Z^2. We derive a general formula for the K-theory of the left regular C*-algebra for S.