The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Conditional expectations in von Neumann algebras and a theorem of Takesaki
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Methods of Modern Mathematical Physics
(1972) · Elsevier eBooks · doi:10.1016/b978-0-12-585001-8.x5001-6 · Cited by 8,883
On the equilibrium states in quantum statistical mechanics
Haag, R., Hugenholtz, N. M., & Winnink, M. (1967) · Communications in Mathematical Physics · doi:10.1007/bf01646342 · Cited by 759
Tomita's Theory of Modular Hilbert Algebras and its Applications
Takesaki, M. (1970) · Lecture Notes in Mathematics · doi:10.1007/bfb0065832 · Cited by 707
Une classification des facteurs de type ${\rm III}$
Connes, A. (1973) · Annales scientifiques de l'École normale supérieure · doi:10.24033/asens.1247 · Cited by 553
CLASSIFICATION OF INJECTIVE FACTORS
Connes, T. A. (1981) · Cited by 493
Conditional expectations in von Neumann algebras
Takesaki, M. (1972) · Journal of Functional Analysis · doi:10.1016/0022-1236(72)90004-3 · Cited by 477
A Generalized Schwarz Inequality and Algebraic Invariants for Operator Algebras
Kadison, R. V. (1952) · The Annals of Mathematics · doi:10.2307/1969657 · Cited by 347
Les algèbres d'opérateurs dans l'espace Hilbertien (algèbres de von Neumann)
Dixmier, J. (1957) · CERN Document Server (European Organization for Nuclear Research) · Cited by 322
Conditional expectation in an operator algebra, I
Umegaki, H. (1954) · Tohoku Mathematical Journal · doi:10.2748/tmj/1178245177 · Cited by 321
On the projection of norm one in $W^ *$-algebras
Tomiyama, J. (1957) · Proceedings of the Japan Academy, Series A, Mathematical Sciences · doi:10.3792/pja/1195524885 · Cited by 253
Cited by
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
Petz, D. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01212345 · Cited by 333
MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
PETZ, D. (2003) · Reviews in Mathematical Physics · doi:10.1142/s0129055x03001576 · Cited by 164
On the existence of quantum subdynamics
Lindblad, G. (1996) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/29/14/037 · Cited by 41
Metadata
- Authors
- Accardi, L., & Cecchini, C.
- Venue
- Journal of Functional Analysis
- Publisher
- Elsevier BV
- Published
- 1982-02
- Volume
- 45
- Issue
- 2
- Pages
- 245-273
- ISSN
- 0022-1236 (ISSN-L)
- OpenAlex
- W2096540168
- Cited by
- 256
- References
- 20
- FWCI
- 7.57
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Conditional expectations in von Neumann algebras and a theorem of Takesaki. https://app.cochat.ai/papers/10.1016/0022-1236(82)90022-2
- The paper
- Accardi, L., & Cecchini, C. (1982). Conditional expectations in von Neumann algebras and a theorem of Takesaki. Journal of Functional Analysis. https://doi.org/10.1016/0022-1236(82)90022-2
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
