On the Hochschild homology of smash biproducts

A. Kaygun; S. Sütlü

doi:10.1016/j.jpaa.2020.106506

On the Hochschild homology of smash biproducts

A. Kaygun^*, S. Sütlü

^*Corresponding author for this work

Department of Mathematics Engineering

Isik University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra M_q(2) of quantum 2×2-matrices.

Original language	English
Article number	106506
Journal	Journal of Pure and Applied Algebra
Volume	225
Issue number	2
DOIs	https://doi.org/10.1016/j.jpaa.2020.106506
Publication status	Published - Feb 2021

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Funding

Acknowledgments. The first author is partially supported by NCN grant UMO-2015/19/B/ST1/03098 .

Funders	Funder number
Narodowe Centrum Nauki	UMO-2015/19/B/ST1/03098

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10.1016/j.jpaa.2020.106506

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abstract = "We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A\#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra Mq(2) of quantum 2×2-matrices.",

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AB - We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra Mq(2) of quantum 2×2-matrices.

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On the Hochschild homology of smash biproducts

Abstract

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Funding

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