On the Hochschild homology of singularity categories.
- Resource Type
- Article
- Authors
- Yu Wang; Arunachalam, Umamaheswaran; Keller, Bernhard
- Source
- Comptes Rendus. Mathématique. 2022, Vol. 360, p491-496. 6p.
- Subject
- *ALGEBRA
- Language
- ISSN
- 1631-073X
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. [ABSTRACT FROM AUTHOR]