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
Publicado:	2018
Materias:	Cleft extensions Cyclic homology Hochschild homology
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n5_p_Guccione 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

id	paper:paper_02194988_v17_n5_p_Guccione
record_format	dspace
spelling	paper:paper_02194988_v17_n5_p_Guccione2023-06-08T15:21:38Z Cyclic homology of cleft extensions of algebras Cleft extensions Cyclic homology Hochschild homology 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. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n5_p_Guccione http://hdl.handle.net/20.500.12110/paper_02194988_v17_n5_p_Guccione
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Cleft extensions Cyclic homology Hochschild homology
spellingShingle	Cleft extensions Cyclic homology Hochschild homology Cyclic homology of cleft extensions of algebras
topic_facet	Cleft extensions Cyclic homology Hochschild homology
description	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.
title	Cyclic homology of cleft extensions of algebras
title_short	Cyclic homology of cleft extensions of algebras
title_full	Cyclic homology of cleft extensions of algebras
title_fullStr	Cyclic homology of cleft extensions of algebras
title_full_unstemmed	Cyclic homology of cleft extensions of algebras
title_sort	cyclic homology of cleft extensions of algebras
publishDate	2018
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n5_p_Guccione http://hdl.handle.net/20.500.12110/paper_02194988_v17_n5_p_Guccione
_version_	1768545688925241344

Cyclic homology of cleft extensions of algebras

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