Cyclic homology of cleft extensions of algebras

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Producción científica: Contribución a una revistaArtículorevisión exhaustiva


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.

Idioma originalInglés
Número de artículo1850091
PublicaciónJournal of Algebra and its Applications
EstadoPublicada - 1 may. 2018


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