Cyclic homology of cleft extensions of algebras

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....

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Detalles Bibliográficos
Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: JOUR
Materias:
Cleft extensions
Cyclic homology
Hochschild homology
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02194988_v17_n5_p_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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. © 2018 World Scientific Publishing Company.

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