On the Hochschild homology of smash biproducts

On the Hochschild homology of smash biproducts

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 homolog...

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Veröffentlicht in:Journal of pure and applied algebra 2021-02, Vol.225 (2), p.106506, Article 106506
Hauptverfasser: Kaygun, A., Sütlü, S.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2020.106506