Active lattices determine AW*-algebras
- Submitting institution
-
University of Edinburgh
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 58250010
- Type
- D - Journal article
- DOI
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10.1016/j.jmaa.2014.02.041
- Title of journal
- Journal of mathematical analysis and applications
- Article number
- -
- First page
- 289
- Volume
- 416
- Issue
- 1
- ISSN
- 0022-247X
- Open access status
- Out of scope for open access requirements
- Month of publication
- February
- Year of publication
- 2014
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
1
- Research group(s)
-
C - Foundations of Computation
- Citation count
- 20
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- Uncovers novel complete invariant of operator algebras used in quantum information theory and mathematical physics. Extends fragmented partial results to a full categorical equivalence by incorporating dynamics. Links order theory and Stone duality to noncommutative topology and functional analysis. Scrupulous proofs convinced a demanding audience of functional analysts. Hailed as a "deep result" in (Hamhalter 2015) and as "interesting new result" on the long-standing (60+ years) Mackey-Gleason problem in textbook by authorities (Saito and Wright 2015).
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -