On the Homology Theory of Operator Algebras

On the Homology Theory of Operator Algebras

We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation bet...

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Main Author: Alaa Hassan Noreldeen
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/368527
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spelling doaj-55b4d6c028714393951f61d94bf77b012020-11-24T23:07:03ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/368527368527On the Homology Theory of Operator AlgebrasAlaa Hassan Noreldeen0Department of Math, Faculty of Science, Aswan University, Aswan 81528, EgyptWe investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced.http://dx.doi.org/10.1155/2012/368527
collection DOAJ
language English
format Article
sources DOAJ
author Alaa Hassan Noreldeen
spellingShingle Alaa Hassan Noreldeen
On the Homology Theory of Operator Algebras
International Journal of Mathematics and Mathematical Sciences
author_facet Alaa Hassan Noreldeen
author_sort Alaa Hassan Noreldeen
title On the Homology Theory of Operator Algebras
title_short On the Homology Theory of Operator Algebras
title_full On the Homology Theory of Operator Algebras
title_fullStr On the Homology Theory of Operator Algebras
title_full_unstemmed On the Homology Theory of Operator Algebras
title_sort on the homology theory of operator algebras
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2012-01-01
description We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced.
url http://dx.doi.org/10.1155/2012/368527
work_keys_str_mv AT alaahassannoreldeen onthehomologytheoryofoperatoralgebras
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