# Invariants of noncommutative projective schemes

## TL;DR

This paper computes key algebraic invariants such as K-theory, cyclic homology, and topological Hochschild homology for noncommutative projective schemes linked to Koszul algebras of finite global dimension.

## Contribution

It provides explicit calculations of invariants for a class of noncommutative schemes, advancing understanding in noncommutative algebraic geometry.

## Key findings

- Computed algebraic K-theory for these schemes
- Determined cyclic homology and topological Hochschild homology invariants
- Established methods applicable to Koszul algebras of finite global dimension

## Abstract

In this note we compute several invariants (e.g. algebraic K-theory, cyclic homology and topological Hochschild homology) of the noncommutative projective schemes associated to Koszul algebras of finite global dimension.