On the Hochschild homology of smash biproducts


Kaygun A. , Sutlu S.

JOURNAL OF PURE AND APPLIED ALGEBRA, cilt.225, sa.2, 2021 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 225 Konu: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.jpaa.2020.106506
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA

Özet

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.