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Non-commutative vector bundles for non-unital algebras

Journal Article


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Abstract


  • 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.

Publication Date


  • 2017

Citation


  • Rennie, A. & Sims, A. (2017). Non-commutative vector bundles for non-unital algebras. Symmetry Integrability And Geometry-methods And Applications, 13 041-1-041-12.

Scopus Eid


  • 2-s2.0-85042050695

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1334&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/333

Start Page


  • 041-1

End Page


  • 041-12

Volume


  • 13

Place Of Publication


  • Ukraine

Abstract


  • 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.

Publication Date


  • 2017

Citation


  • Rennie, A. & Sims, A. (2017). Non-commutative vector bundles for non-unital algebras. Symmetry Integrability And Geometry-methods And Applications, 13 041-1-041-12.

Scopus Eid


  • 2-s2.0-85042050695

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1334&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/333

Start Page


  • 041-1

End Page


  • 041-12

Volume


  • 13

Place Of Publication


  • Ukraine