On the Hochschild homology of smash biproducts

Kaygun A., Sutlu S.

JOURNAL OF PURE AND APPLIED ALGEBRA, vol.225, no.2, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 225 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1016/j.jpaa.2020.106506
  • Journal Name: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Istanbul Technical University Affiliated: Yes

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 x 2-matrices. (C) 2020 Elsevier B.V. All rights reserved.