Let be an algebraically closed field and a finite-dimensional -algebra. In this note, we determine complexes which compute the Hochschild homology of the canonical dg enhancement of the bounded derived category of and of the canonical dg enhancement of the singularity category of . As an application, we obtain a new approach to the computation of Hochschild homology of Leavitt path algebras.
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Yu Wang 1, 2; Umamaheswaran Arunachalam 3; Bernhard Keller 4
@article{CRMATH_2022__360_G5_491_0, author = {Yu Wang and Umamaheswaran Arunachalam and Bernhard Keller}, title = {On the {Hochschild} homology of singularity categories}, journal = {Comptes Rendus. Math\'ematique}, pages = {491--496}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, year = {2022}, doi = {10.5802/crmath.318}, language = {en}, }
TY - JOUR AU - Yu Wang AU - Umamaheswaran Arunachalam AU - Bernhard Keller TI - On the Hochschild homology of singularity categories JO - Comptes Rendus. Mathématique PY - 2022 SP - 491 EP - 496 VL - 360 PB - Académie des sciences, Paris DO - 10.5802/crmath.318 LA - en ID - CRMATH_2022__360_G5_491_0 ER -
Yu Wang; Umamaheswaran Arunachalam; Bernhard Keller. On the Hochschild homology of singularity categories. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 491-496. doi : 10.5802/crmath.318. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.318/
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