no. 12
Homological algebra
Derived invariance of the cap product in Hochschild theory
[Invariance dérivée du cap produit en théorie de Hochschild]

Présenté par : Michele Vergne

Armenta, Marco Antonio1 ; Keller, Bernhard2
1 Centro de Investigación en Matemáticas A. C., Cubicle D104, 36240 Guanajuato, Gto. Mexico
2 Université Paris-Diderot – Paris-7, UFR de Mathématiques, Institut de mathématiques de Jussieu – PRG, UMR 7586 du CNRS, case 7012, bâtiment Sophie-Germain, 75205 Paris cedex 13, France
Comptes Rendus. Mathématique, Tome 355 (2017) no. 12, pp. 1205-1207.

Nous démontrons l'invariance dérivée du cap produit pour les algèbres associatives projectives sur un anneau commutatif.

We prove the derived invariance of the cap product for associative algebras projective over a commutative ring.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.11.005
Armenta, Marco Antonio 1 ; Keller, Bernhard 2

1 Centro de Investigación en Matemáticas A. C., Cubicle D104, 36240 Guanajuato, Gto. Mexico
2 Université Paris-Diderot – Paris-7, UFR de Mathématiques, Institut de mathématiques de Jussieu – PRG, UMR 7586 du CNRS, case 7012, bâtiment Sophie-Germain, 75205 Paris cedex 13, France 
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Armenta, Marco Antonio; Keller, Bernhard. Derived invariance of the cap product in Hochschild theory. Comptes Rendus. Mathématique, Tome 355 (2017) no. 12, pp. 1205-1207. doi : 10.1016/j.crma.2017.11.005. http://www.numdam.org/articles/10.1016/j.crma.2017.11.005/

[1] Cartan, H.; Eilenberg, S. Homological Algebra, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1999 (With an appendix by David A. Buchsbaum, Reprint of the 1956 original)

[2] Rickard, J. Morita theory for derived categories, J. Lond. Math. Soc. (2), Volume 39 (1989) no. 3, pp. 436-456

[3] Rickard, J. Derived equivalences as derived functors, J. Lond. Math. Soc. (2), Volume 43 (1991) no. 1, pp. 37-48

[4] Weibel, C.A. An Introduction to Homological Algebra, Cambridge Studies in Advanced Mathematics, vol. 38, Cambridge University Press, Cambridge, UK, 1994

[5] Zimmermann, A. Fine Hochschild invariants of derived categories for symmetric algebras, J. Algebra, Volume 308 (2007) no. 1, pp. 350-367

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