On the Morita invariance of the Hochschild homology of superalgebras

TL;DR

This paper proves that Hochschild homology remains unchanged under Morita equivalence for superalgebras, providing a direct proof for $bZ_2$-graded cases.

Contribution

It offers a direct proof of Morita invariance of Hochschild homology specifically for $bZ_2$-graded algebras, filling a gap in existing literature.

Findings

Hochschild homology is Morita invariant for superalgebras.

Provides a direct proof approach for $bZ_2$-graded cases.

Confirms invariance without relying on indirect methods.

Abstract

We provide a direct proof that the Hochschild homology of a $\mathbb{Z}_2$-graded algebra is Morita invariant.