Non-Commutative Vector Bundles for Non-Unital Algebras
K-Theory and Homology
2017-06-19 v3 Operator Algebras
Abstract
We revisit the characterisation of modules over non-unital -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.
Keywords
Cite
@article{arxiv.1612.03559,
title = {Non-Commutative Vector Bundles for Non-Unital Algebras},
author = {Adam Rennie and Aidan Sims},
journal= {arXiv preprint arXiv:1612.03559},
year = {2017}
}