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

id	todo:paper_02194988_v17_n5_p_Guccione
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spelling	todo:paper_02194988_v17_n5_p_Guccione2023-10-03T15:11:07Z Cyclic homology of cleft extensions of algebras Guccione, J.A. Guccione, J.J. Valqui, C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Guccione, J.A. Guccione, J.J. Valqui, C. 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.
format	JOUR
author	Guccione, J.A. Guccione, J.J. Valqui, C.
author_facet	Guccione, J.A. Guccione, J.J. Valqui, C.
author_sort	Guccione, J.A.
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
url	http://hdl.handle.net/20.500.12110/paper_02194988_v17_n5_p_Guccione
work_keys_str_mv	AT guccioneja cyclichomologyofcleftextensionsofalgebras AT guccionejj cyclichomologyofcleftextensionsofalgebras AT valquic cyclichomologyofcleftextensionsofalgebras
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Cyclic homology of cleft extensions of algebras

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