On the Hochschild homology of smash biproducts

A. Kaygun*, S. Sütlü

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 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 Mq(2) of quantum 2×2-matrices.

Original languageEnglish
Article number106506
JournalJournal of Pure and Applied Algebra
Volume225
Issue number2
DOIs
Publication statusPublished - 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 .

FundersFunder number
Narodowe Centrum NaukiUMO-2015/19/B/ST1/03098

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