Non-commutative vector bundles for non-unital algebras

Authors

Adam C. Rennie, University of WollongongFollow
Aidan Sims, University of WollongongFollow

RIS ID

114937

Publication Details

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.

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.

Grant Number

ARC/DP150101595