Derived invariance of the cap product in Hochschild theory

TL;DR

This paper proves that the cap product in Hochschild theory remains invariant under derived equivalences for associative algebras that are projective over a commutative ring, highlighting a fundamental stability property.

Contribution

It establishes the derived invariance of the cap product in Hochschild theory for a broad class of associative algebras, extending previous results.

Findings

Cap product is invariant under derived equivalences.

Applicable to associative algebras projective over a commutative ring.

Provides new insights into Hochschild cohomology invariance.

Abstract

We prove derived invariance of the cap product for associative algebras projective over a commutative ring.