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Non-Commutative Vector Bundles for Non-Unital Algebras

Vernadsky National Library of Ukraine

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Title Non-Commutative Vector Bundles for Non-Unital Algebras
 
Creator Rennie, A.
Sims, A.
 
Description We revisit the characterisation of modules over non-unital C∗-algebras analogous to modules of sections of vector bundles. A fullness condition on the associated multiplier module characterises a class of modules which closely mirror the commutative case. We also investigate the multiplier-module construction in the context of bi-Hilbertian bimodules, particularly those of finite numerical index and finite Watatani index.
 
Date 2019-02-18T16:51:26Z
2019-02-18T16:51:26Z
2017
 
Type Article
 
Identifier Non-Commutative Vector Bundles for Non-Unital Algebras / A. Rennie, A. Sims // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 11 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 57R22; 46L85
DOI:10.3842/SIGMA.2017.041
http://dspace.nbuv.gov.ua/handle/123456789/148641
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України