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arXiv · 2507.16778

Homology of Epsilon-Strongly Graded Algebras

Emmanuel Jerez
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Abstract

Let $G$ be a group and $S$ a unital epsilon-strongly $G$-graded algebra. We construct spectral sequences converging to the Hochschild (co)homology of $S$. Each spectral sequence is expressed in terms of the partial group (co)homology of $G$ with coefficients in the Hochschild (co)homology of the degree-one component of $S$. Moreover, we show that the homology spectral sequence decomposes according to the conjugacy classes of $G$, and, by means of the globalization functor, its $E^2$-page can be identified with the ordinary group homology of suitable centralizers.

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Emmanuel Jerez. 2025-07-22. Homology of Epsilon-Strongly Graded Algebras. https://arxiv.org/abs/2507.16778

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