Two classes of algebras with infinite Hochschild homology

TL;DR

This paper proves that for two broad classes of algebras with infinite global dimension, higher Hochschild homology groups are non-vanishing, regardless of the ground field assumptions.

Contribution

It establishes the non-vanishing of Hochschild homology for two large classes of algebras with infinite global dimension without ground field restrictions.

Findings

Higher Hochschild homology groups do not vanish for these classes.

The result holds without assumptions on the ground field.

It extends known results to broader algebra classes.

Abstract

We prove without any assumption on the ground field that higher Hochschild homology groups do not vanish for two large classes of algebras whose global dimension in not finite.