The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Non-Commutative Geometry
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Citations
Cites
Differential Forms in Algebraic Topology
Bott, R., & Tu, L. W. (1982) · Graduate Texts in Mathematics · doi:10.1007/978-1-4757-3951-0 · Cited by 2,743
Trace Ideals and Their Applications
Simon, B. (2010) · Mathematical Surveys and Monographs · doi:10.1090/surv/120 · Cited by 1,976
Non-commutative differential geometry
Alain Connes, A. (1985) · Publications mathématiques de l IHÉS · doi:10.1007/bf02698807 · Cited by 1,243
The Index of Elliptic Operators: I
Atiyah, M. F., & Singer, I. M. (1968) · The Annals of Mathematics · doi:10.2307/1970715 · Cited by 1,139
Differential Analysis on Complex Manifolds
Wells, R. O. (1980) · Graduate Texts in Mathematics · doi:10.1007/978-1-4757-3946-6 · Cited by 898
C∗-algebras associated with irrational rotations
Rieffel, M. (1981) · Pacific Journal of Mathematics · doi:10.2140/pjm.1981.93.415 · Cited by 579
Complex Manifolds without Potential Theory
Chern, S.-S. (1979) · Universitext · doi:10.1007/978-1-4684-9344-3 · Cited by 451
K-theory of C*—Algebras in solid state physics
Bellissard, J. (2008) · Lecture Notes in Physics · doi:10.1007/3-540-16777-3_74 · Cited by 231
Research works printed but not linked: 9
- Bott, Tu. “Differential Forms in algebraictopology”,Springer
- Connes “ASurvey of foliations and operator algebras”,Proc.Symposia Pure Math. 38 Part II
- Karoubi:“K-theory,An Introduction”,Springer
- Loday,Quillen:“Cyclichomology and the Lie algebra of matrices”,Commun. Math. Helv.59 · doi:10.1007/bf02566367
- Blackadar:“K-theory for operator algebras”MSRI Publication Springer
- Proceedings“Bonn Arbeitstagung 1986/1987”,MPI Preprints talks of Atiyah ’87and Floer ’86/’87
- Brown,Douglas “K-homology and index theory,operator algebras and applications”, Proc. Symp. Pure Math. 38 Part I ’82
- Bleeker “Gauge Theory and Variational principle”,Addison Wesley
- Segal,Pressley “Loop Groups”,Oxford Univ.Press ’86
Cited by
The quantum structure of spacetime at the Planck scale and quantum fields
Doplicher, S., Fredenhagen, K., & Roberts, J. E. (1995) · Communications in Mathematical Physics · doi:10.1007/bf02104515 · Cited by 1,353
Spacetime quantization induced by classical gravity
Doplicher, S., Fredenhagen, K., & Roberts, J. E. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90940-7 · Cited by 816
Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
Oriti, D. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/12/203 · Cited by 201
Fang, F., & Irwin, K. (2015) · arXiv · doi:10.48550/arxiv.1511.07786 · Cited by 12
From the Fibonacci Icosagrid to E8 (Part I): The Fibonacci Icosagrid, an H3 Quasicrystal
Fang, F., & Irwin, K. (2024) · Crystals · doi:10.3390/cryst14020152 · Cited by 1
Metadata
- Authors
- Connes, A.
- Venue
- NATO ASI Series
- Publisher
- Springer US
- Published
- 1988
- Pages
- 33-69
- ISSN
- 0258-1221 (ISSN-L)
- OpenAlex
- W2177365012
- Cited by
- 717
- References
- 8
- FWCI
- 1.98
- Type
- book chapter
- Language
- en
- Open access
- closed
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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.