On the Hochschild homology of singularity categories
Résumé
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.
Mots clés
February 8 2020. 1991 Mathematics Subject Classification. 16E35 16E40 16E45 18G80 Hochschild homology dg category derived category singularity category Leavitt path algebra
February 8
2020. 1991 Mathematics Subject Classification. 16E35
16E40
16E45
18G80 Hochschild homology
dg category
derived category
singularity category
Leavitt path algebra
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