Inclusions of Real Rank Zero
Abstract We introduce a notion of real rank zero for inclusions of $\textrm{C}^{*}$-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.
Authors
- James Gabe (ORCID: https://orcid.org/0000-0002-2503-6988)
- Robert Neagu (ORCID: https://orcid.org/0000-0003-1431-5735)
Institutions
- University of Southern Denmark (DK)
- KU Leuven (BE)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-08-01
- DOI
- https://doi.org/10.1093/imrn/rnaf232
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council