On the Hochschild homology of singularity categories
- Resource Type
- article
- Authors
- Wang, Yu; Arunachalam, Umamaheswaran; Keller, Bernhard
- Source
- Comptes Rendus. Mathématique, Vol 360, Iss G5, Pp 491-496 (2022)
- Subject
- Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
Let $k$ be an algebraically closed field and $A$ a finite-dimensional $k$-algebra. In this note, we determine complexes which compute the Hochschild homology of the canonical dg enhancement of the bounded derived category of $A$ and of the canonical dg enhancement of the singularity category of $A$. As an application, we obtain a new approach to the computation of Hochschild homology of Leavitt path algebras.