The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Inductive limits of finite dimensional 𝐶*-algebras
Open accessAbstract
Inductive limits of ascending sequences of finite dimensional C ∗ -algebras are studied. The ideals of such algebras are classified, and a necessary and sufficient condition for isomorphism of two such algebras is obtained. The results of Powers concerning factor states and representations of UHF-algebras are generalized to this case. A study of the current algebra of the canonical anticommutation relations is then being made.
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Cites
Rudin, W. (1973) · Cited by 13,740
Yosida, K. (1965) · Springer eBooks · doi:10.1007/978-3-642-52814-9 · Cited by 3,355
An algebraic approach to quantum field theory
Haag, R., & Kastler, D. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704187 · Cited by 1,250
Fields, observables and gauge transformations I
Doplicher, S., Haag, R., & Roberts, J. E. (1969) · Communications in Mathematical Physics · doi:10.1007/bf01645267 · Cited by 359
A class of operator algebras which are determined by groups
Segal, I. E. (1951) · Duke Mathematical Journal · doi:10.1215/s0012-7094-51-01817-0 · Cited by 317
Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings
Powers, R. T. (1967) · The Annals of Mathematics · doi:10.2307/1970364 · Cited by 291
Nets ofC*-algebras and classification of states
Haag, R., Kadison, R. V., & Kastler, D. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01646615 · Cited by 93
Cited by
Interpretation of AF C∗-algebras in Łukasiewicz sentential calculus
Mundici, D. (1986) · Journal of Functional Analysis · doi:10.1016/0022-1236(86)90015-7 · Cited by 698
Metadata
- Authors
- Bratteli, O.
- Venue
- Transactions of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 1972
- Volume
- 171
- Issue
- 0
- Pages
- 195-234
- ISSN
- 0002-9947 (ISSN-L)
- 1088-6850
- OpenAlex
- W1977972728
- Cited by
- 447
- References
- 7
- FWCI
- 1.89
- Type
- journal article
- Language
- en
- Open access
- bronze
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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.
