Geodesic
ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 187-198

Voir la notice de l'article provenant de la source Cambridge University Press

We study the homological algebra of bimodules over involutive associative algebras. We show that Braun's definition of involutive Hochschild cohomology in terms of the complex of involution-preserving derivations is indeed computing a derived functor: the Z/2-invariants intersected with the centre. We then introduce the corresponding involutive Hochschild homology theory and describe it as the derived functor of the pushout of Z/2-coinvariants and abelianization. 
FERNÀNDEZ-VALÈNCIA, RAMSÈS; GIANSIRACUSA, JEFFREY. ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 187-198. doi: 10.1017/S0017089516000653
@article{10_1017_S0017089516000653,
     author = {FERN\`ANDEZ-VAL\`ENCIA, RAMS\`ES and GIANSIRACUSA, JEFFREY},
     title = {ON {THE} {HOCHSCHILD} {HOMOLOGY} {OF} {INVOLUTIVE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {187--198},
     year = {2018},
     volume = {60},
     number = {1},
     doi = {10.1017/S0017089516000653},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000653/}
}
TY  - JOUR
AU  - FERNÀNDEZ-VALÈNCIA, RAMSÈS
AU  - GIANSIRACUSA, JEFFREY
TI  - ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS
JO  - Glasgow mathematical journal
PY  - 2018
SP  - 187
EP  - 198
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000653/
DO  - 10.1017/S0017089516000653
ID  - 10_1017_S0017089516000653
ER  - 
%0 Journal Article
%A FERNÀNDEZ-VALÈNCIA, RAMSÈS
%A GIANSIRACUSA, JEFFREY
%T ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS
%J Glasgow mathematical journal
%D 2018
%P 187-198
%V 60
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000653/
%R 10.1017/S0017089516000653
%F 10_1017_S0017089516000653

[1] 1. Braun, C., Involutive A-infinity algebras and dihedral cohomology, J. Homotopy Relat. Struct. 9 (2) (2014), 317–337. Google Scholar

[2] 2. Costello, K., Topological conformal field theories and Calabi-Yau categories, Adv. Math. 210 (1) (2007), 165–214. Google Scholar

[3] 3. Fernàndez-València, R., On the structure of unoriented topological conformal field theories, arXiv:1503.02465, submitted. Google Scholar

[4] 4. Loday, J.-L. and Vallette, B., Algebraic operads, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 346 (Springer, Heidelberg, 2012). Google Scholar

Cité par Sources :