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Non-Commutative Vector Bundles for Non-Unital Algebras
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : Hilbert module; vector bundle; multiplier module; Watatani index. 
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     author = {Adam Rennie and Aidan Sims},
     title = {Non-Commutative {Vector} {Bundles} for {Non-Unital} {Algebras}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a40/}
}
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Adam Rennie; Aidan Sims. Non-Commutative Vector Bundles for Non-Unital Algebras. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a40/

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