Inclusions of real rank zero
Operator Algebras
2025-09-03 v3
Abstract
We introduce a notion of real rank zero for inclusions of C-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description of the commutative case. We provide permanence and K-theoretic properties of inclusions of real rank zero and prove that a large class of full infinite inclusions have real rank zero.
Cite
@article{arxiv.2312.03622,
title = {Inclusions of real rank zero},
author = {James Gabe and Robert Neagu},
journal= {arXiv preprint arXiv:2312.03622},
year = {2025}
}
Comments
accepted version