Noncommutative Geometry

Noncommutative Geometry (1994)

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by Alain Connes

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@MISC{Connes94noncommutativegeometry,
    author = {Alain Connes},
    title = {Noncommutative Geometry},
    year = {1994}
}

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750	Quantum groups - Drinfeld - 1986
602	Operator algebras and quantum statistical mechanics - Bratteli, Robinson - 1996
406	Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms - Bowen - 1975
404	Eilenberg: Homological algebra - Cartan, S - 1956
390	The index of elliptic operators - Atiyah, Singer - 1971
383	algebras and their automorphism groups - Pedersen, C - 1979
318	Noncommutative geometry and matrix theory: compactification on tori, JHEP 9802 - Connes, Douglas, et al. - 1998
282	Lectures on Theta I - Mumford - 1983
278	K-Theory for Operator Algebras - BLACKADAR - 1998
222	Deformation theory and quantization - Bayen, Flato, et al. - 1978
207	Simple C ∗ -algebras generated by isometries - Cuntz - 1977
193	Local Quantum Physics - Haag - 1993
160	Elliptic operators, discrete groups and von Neumann algebras. In Colloque “Analyse et Topologie” en l’Honneur de Henri Cartan - Atiyah - 1974
160	Optical Coherence and Quantum optics - Mandel, Wolf - 1995
146	Non-commutative differential geometry - CONNES - 1985
138	A class of c* algebras and topological markov chains - Krieger - 1980
123	A.: Existence of Star-Products and of Formal Deformations of the Poisson Lie Algebra of Arbitrary Symplectic - DeWilde, Lecomte - 1983
118	Classifying space for proper actions and K-theory of group C ∗ -algebras - Baum, Connes, et al. - 1993
112	Algebra extensions and nonsingularity - Cuntz, Quillen - 1995
108	C ∗ -algèbres et géométrie différentielle - Connes - 1980
107	Les algèbres d’opérateurs dans l’espace hilbertien (algèbres de von - Dixmier - 1957
107	Tomita’s Theory of Modular Hilbert Algebras and its - Takesaki - 1970
99	An amenable equivalence relation is generated by a single transformation”, Ergod - Connes, Feldman, et al. - 1981
82	On the classification of inductive limits of sequences of semisimple finite-dimensional algebras - Elliott - 1976
82	Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory - Bost, Connes - 1995
81	Classification of injective factors - Connes - 1976
80	Moscovici: Cyclic cohomology, the Novikov conjecture and hyperbolic groups, Topology 29 - Connes, H - 1990
76	On groups of measure preserving transformations - Dye - 1959
75	An invitation to C ∗ -algebra - Arveson - 1976
75	Une classification des facteurs de type III - Connes - 1973
75	Local observables and particle statistics - Doplicher, Haag, et al. - 1971
72	Trace formula in non-commutative Geometry and the zeros of the Riemann zeta function - Connes - 1999
71	modules, Topology 3 - Atiyah, Bott, et al. - 1964
68	On the heat equation and the index theorem - Atiyah, Bott, et al. - 1973
67	Property T for von Neumann algebras - Connes, Jones, et al. - 1985
67	Operator algebras and Quantum - Bratteli, Robinson - 1979
66	An analogue of the Thom isomorphism for crossed products of a C∗ algebra by an action of R, Adv - Connes - 1981
65	Monotone matrix functions and analytic continuation - Donoghue - 1974
64	M.A.Rieffel: Stable isomorphisms and strong Morita equivalence of C*-algebras - Brown - 1977
64	Cohomologie cyclique et foncteurs Ext n - Connes - 1983
63	Cyclic cohomology and the transverse fundamental class of a foliation - Connes - 1986
60	Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem - Adamjan, Arov, et al. - 1971
59	Cours d’arithmétique, Press Universitaires de France - Serre - 1970
55	A Note on the Atiyah-Singer Index Theorem - Alvarez-Gaumé - 1983
55	Outer conjugacy classes of automorphisms of factors - Connes - 1975
55	The action functional in noncommutative geometry - Connes - 1988
55	Compact metric spaces, Fredholm modules, and hyperfiniteness - Connes - 1989
55	morphismes asymptotiques et K-théorie bivariante - Connes, Higson, et al. - 1990
54	Relative entropy for states of von Neumann algebras - Araki - 1977
54	Les C ∗ -algebres et leurs representations, Gauthier-Villars Editeur - Dixmier - 1969