Relative cyclic homology of square zero extensions
Let k be a characteristic zero field, C a k-algebra and M a square zero two sided ideal of C. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of C relative to M. This complex resembles the canonical reduced mixed complex of an augmented alge...
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2006
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| LEADER | 03854caa a22004217a 4500 | ||
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| 001 | PAPER-6911 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203638.0 | ||
| 008 | 190411s2006 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-37849186844 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Guccione, J.A. | |
| 245 | 1 | 0 | |a Relative cyclic homology of square zero extensions |
| 260 | |c 2006 | ||
| 270 | 1 | 0 | |m Guccione, J.A.; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina; email: vander@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Burghelea, D., Cyclic homology and algebraic K-theory of spaces I (1986) Contemp. Math., 55, pp. 89-115. , [B], Boulder, Colorado, 1983 | ||
| 504 | |a Cortiñas, G., On the cyclic homology of commutative algebras over arbitrary ground rings (1999) Commun. Alg., 27 (3), pp. 1403-1412. , [Co] | ||
| 504 | |a Crainic, M., (2004) On the Perturbation Lemma, and Deformations, , [C], arXiv:Math. AT/0403266 | ||
| 504 | |a Cuntz, J., Quillen, D., Operators on noncommutative differential forms and cyclic homology (1995) Geometry, Topology and Physics, pp. 77-111. , [C-Q], Raoul Bott International Press, Cambridge, MA | ||
| 504 | |a Gerstenhaber, M., Schack, S.D., Relative Hochschild cohomology, rigid algebras and the Bockstein (1986) J. Pure Appl. Alg., 43, pp. 53-74. , [G-S] | ||
| 504 | |a Goodwillie, T.G., Relative algebraic K-theory and cyclic homology (1986) Ann. Math., 124, pp. 347-402. , [G1] | ||
| 504 | |a Goodwillie, T.G., Cyclic homology, derivations and the free loop space (1985) Topology, 24, pp. 187-215. , [G2] | ||
| 504 | |a Kadison, L., (1984) Cyclic Homology of Extension Algebras with Application to Matrix Algebras, Algebraic K-theory, and Nest Algebras of Operators, , [K1], Ph. D. thesis, U. of Cal., Berkeley | ||
| 504 | |a Kadison, L., A relative cyclic cohomology theory useful for computations (1989) Cr. Acad. Sci. Paris, 308, pp. 569-573. , [K2] | ||
| 504 | |a Kassel, K., Cyclic homology, comodules and mixed complexes (1987) J. Alg., 107, pp. 195-216. , [Ka1] | ||
| 504 | |a Quillen, D., Cyclic cohomology and algebra extensions (1989) K-theory, 3, pp. 205-246. , [Q] | ||
| 520 | 3 | |a Let k be a characteristic zero field, C a k-algebra and M a square zero two sided ideal of C. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of C relative to M. This complex resembles the canonical reduced mixed complex of an augmented algebra. We begin the study of our complex showing that it has a harmonic decomposition like to the one considered by Cuntz and Quillen for the normalized mixed complex of an algebra. We also give new proofs of two theorems of Goodwillie, obtaining a light improvement of one of them. © Walter de Gruyter 2006. |l eng | |
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina | ||
| 700 | 1 | |a Guccione, J.J. | |
| 773 | 0 | |d 2006 |h pp. 51-80 |k n. 600 |p J. Reine Angew. Math. |x 00754102 |w (AR-BaUEN)CENRE-1036 |t Journal fur die Reine und Angewandte Mathematik | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-37849186844&doi=10.1515%2fCRELLE.2006.086&partnerID=40&md5=6bb82f54a53fc0e8db2443acce06cc4c |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1515/CRELLE.2006.086 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00754102_v_n600_p51_Guccione |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v_n600_p51_Guccione |y Registro en la Biblioteca Digital |
| 961 | |a paper_00754102_v_n600_p51_Guccione |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 67864 | ||