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Non-Commutative Vector Bundles for Non-Unital Algebras

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 نشر من قبل Adam Rennie
 تاريخ النشر 2016
  مجال البحث
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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.



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