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Abstract:

In this paper we prove the invariance of positive Hochschild homology and dihedral homology with respect to hermitian Morita equivalence between involutive algebras. We also define the notion of hermitian k-congruence and prove some results on Morita invariance of HH*+ and HD* in this context. Copyright © 1996 by Marcel Dekker, Inc.

Registro:

Documento: Artículo
Título:Morita equivalence for positive Hochschild homology and dihedral homology
Autor:Farinati, M.; Solotar, A.
Filiación:Dto. de Matemática Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pab I., 1428 - Buenos Aires, Argentina
Año:1996
Volumen:24
Número:5
Página de inicio:1793
Página de fin:1807
DOI: http://dx.doi.org/10.1080/00927879608825672
Título revista:Communications in Algebra
Título revista abreviado:Commun. Algebra
ISSN:00927872
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v24_n5_p1793_Farinati

Referencias:

  • Cortiñas, G., Weibel, Ch., Homology of Azumaya algebras (1994) Proc. AMS, 121 (1), pp. 53-55
  • Dennis, K., Igusa, K., Hochschild homology and the second obstruction for pseudo-isotopy (1982) Lect. Notes Math., 966, pp. 7-58
  • Fröhlich, A., Evett, Mc., Forms over rings with involution (1969) J. of Alg., 12, pp. 79-104
  • Gerstenhaber, M., On the deformations of rings and algebras (1964) Ann. of Math., 79, pp. 59-103
  • Hahn, A., An hermitian Morita theorem for algebras with antistructure (1985) J.of Alg., 93, pp. 215-235
  • Loday, J.L., Cyclic homology (1992) Der Grund. Math. Wiss., 301. , Springer Verlag
  • Rieffel, M., Morita equivalence for operator algebras (1982) Proc. of Symposia in Pure Math., 38 (PART I), pp. 285-298
  • Schack, S.D., Bimodules, the Brauer group, Morita invariance, and cohomology (1992) J. of P. and A. Alg., 80, pp. 315-325

Citas:

---------- APA ----------
Farinati, M. & Solotar, A. (1996) . Morita equivalence for positive Hochschild homology and dihedral homology. Communications in Algebra, 24(5), 1793-1807.
http://dx.doi.org/10.1080/00927879608825672
---------- CHICAGO ----------
Farinati, M., Solotar, A. "Morita equivalence for positive Hochschild homology and dihedral homology" . Communications in Algebra 24, no. 5 (1996) : 1793-1807.
http://dx.doi.org/10.1080/00927879608825672
---------- MLA ----------
Farinati, M., Solotar, A. "Morita equivalence for positive Hochschild homology and dihedral homology" . Communications in Algebra, vol. 24, no. 5, 1996, pp. 1793-1807.
http://dx.doi.org/10.1080/00927879608825672
---------- VANCOUVER ----------
Farinati, M., Solotar, A. Morita equivalence for positive Hochschild homology and dihedral homology. Commun. Algebra. 1996;24(5):1793-1807.
http://dx.doi.org/10.1080/00927879608825672