On the Picard group of involutive algebras and coalgebras

We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebra A as the semidirect product of the classical hermitian Picard group of A and the automorphisms o...

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Detalles Bibliográficos
Autores principales: Farinati, Marco Andres, Solotar, Andrea Leonor
Publicado: 1998
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v26_n7_p2115_Farinati
http://hdl.handle.net/20.500.12110/paper_00927872_v26_n7_p2115_Farinati
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00927872_v26_n7_p2115_Farinati2023-06-08T15:08:18Z On the Picard group of involutive algebras and coalgebras Farinati, Marco Andres Solotar, Andrea Leonor We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebra A as the semidirect product of the classical hermitian Picard group of A and the automorphisms of A commuting with the involution. We also obtain similar decomposition results on hermitian Picard groups of involutive coalgebras (C,ωC), which show, at least in the cocommutative case, that this hermitian Picard group differs considerably from the non hermitian one. Fil:Farinati, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v26_n7_p2115_Farinati http://hdl.handle.net/20.500.12110/paper_00927872_v26_n7_p2115_Farinati
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study how Hilbert bimodules correspond in the algebraic case to hermitian Morita equivalences and consequently we obtain a description of the hermitian Picard group of a commutative involutive algebra A as the semidirect product of the classical hermitian Picard group of A and the automorphisms of A commuting with the involution. We also obtain similar decomposition results on hermitian Picard groups of involutive coalgebras (C,ωC), which show, at least in the cocommutative case, that this hermitian Picard group differs considerably from the non hermitian one.
author Farinati, Marco Andres
Solotar, Andrea Leonor
spellingShingle Farinati, Marco Andres
Solotar, Andrea Leonor
On the Picard group of involutive algebras and coalgebras
author_facet Farinati, Marco Andres
Solotar, Andrea Leonor
author_sort Farinati, Marco Andres
title On the Picard group of involutive algebras and coalgebras
title_short On the Picard group of involutive algebras and coalgebras
title_full On the Picard group of involutive algebras and coalgebras
title_fullStr On the Picard group of involutive algebras and coalgebras
title_full_unstemmed On the Picard group of involutive algebras and coalgebras
title_sort on the picard group of involutive algebras and coalgebras
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v26_n7_p2115_Farinati
http://hdl.handle.net/20.500.12110/paper_00927872_v26_n7_p2115_Farinati
work_keys_str_mv AT farinatimarcoandres onthepicardgroupofinvolutivealgebrasandcoalgebras
AT solotarandrealeonor onthepicardgroupofinvolutivealgebrasandcoalgebras
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