The noncommutative geometry of Yang–Mills fields

Journal of Geometry and Physics - Tập 61 - Trang 1122-1134 - 2011
Jord Boeijink1, Walter D. van Suijlekom1
1Institute for Mathematics, Astrophysics and Particle Physics, Faculty of Science, Radboud University Nijmegen, Heyendaalseweg 135, 6525AJ Nijmegen, The Netherlands

Tài liệu tham khảo

Chamseddine, 1997, The spectral action principle, Comm. Math. Phys., 186, 731, 10.1007/s002200050126 Chamseddine, 2007, Gravity and the standard model with neutrino mixing, Adv. Theor. Math. Phys., 11, 991, 10.4310/ATMP.2007.v11.n6.a3 Atiyah, 1979 Connes, 1994 Connes, 2008 Connes, 1996, Gravity coupled with matter and the foundation of noncommutative geometry, Comm. Math. Phys., 182, 10.1007/BF02506388 Gracia-Bondia, 2001 Rieffel, 1974, Morita equivalence for C∗-algebras and W∗-algebras, J. Pure Appl. Algebra, 5, 51, 10.1016/0022-4049(74)90003-6 Bleecker, 1981 Swan, 1962, Vector bundles and projective modules, Trans. Amer. Math. Soc., 105, 264, 10.1090/S0002-9947-1962-0143225-6 Nestruev, 2003 Kasparov, 1980, The operator K-functor and extensions of C∗-algebras, Izv. Akad. Nauk SSSR Ser. Mat., 44, 571 Baaj, 1983, Théorie bivariante de Kasparov et opérateurs non bornés dans les C∗-modules hilbertiens, C. R. Acad. Sci. Paris, Ser. I Math., 296, 875 Kasparov, 1988, Equivariant KK-theory and the Novikov conjecture, Invent. Math., 91, 147, 10.1007/BF01404917 Blackadar, 1998 Kucerovsky, 1997, The KK-product of unbounded modules, K-Theory, 11, 17, 10.1023/A:1007751017966 Mesland B. Ćaćić, A reconstruction theorem for almost-commutative spectral triples, arXiv:1101.5908. Dixmier, 1963, Champs continus d’espaces hilbertiens et de C∗-algèbres, Bull. Soc. Math. France, 91, 227, 10.24033/bsmf.1596 Raeburn, 1998 Gilkey, 1984 Estrada, 1998, On summability of distributions and spectral geometry, Commun. Math. Phys., 191, 219, 10.1007/s002200050266 Várilly, 2006 Chamseddine, 2010, Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. Part I, Fortsch. Phys., 58, 553, 10.1002/prop.201000069