IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Cyclic homology of cleft extensions of algebras
Autor/es:
GUCCIONE, JUAN J.; VALQUI, CHRISTIAN; GUCCIONE, JORGE A.
Revista:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Lugar: London, UK; Año: 2018 vol. 17
ISSN:
0219-4988
Resumen:
Let k be a commutative algebra with Q⊆k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of E relative to ker(p). 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 the one considered by Cuntz and Quillen for the normalized mixed complex of an algebra.
