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.
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