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.
Idioma original | Inglés |
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Número de artículo | 1850091 |
Publicación | Journal of Algebra and its Applications |
Volumen | 17 |
N.º | 5 |
DOI | |
Estado | Publicada - 1 may. 2018 |