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With an action $\alpha$ of $\mathbb{R}^n$ on a $C^*$-algebra $A$ and a skew-symmetric $n\times n$ matrix $\Theta$ one can consider the Rieffel deformation $A_\Theta$ of $A$, which is a $C^*$-algebra generated by the $\alpha$-smooth elements of $A$ with a new multiplication.
Gohberg I, Krein M. Fundamental aspects of defect numbers, root numbers and indices of linear operators. Uspehi Mat. Nauk (N.S.). Vol 12, Issue 2(74), pp. 43-118 (1957)
1957
Earlier work this paper cites.
Coburn LA. The C ∗ C^{*} -algebra generated by an isometry I. Bull. Amer. Math Soc. Vol 73, pp. 722-726 (1967)
1967
Earlier work this paper cites.
Atiyah M. Bott periodicity and the index of elliptic operators. Quart. J. Math. Oxford Ser. Vol 19, Issue 2, pp. 113-140 (1968)
1968
Earlier work this paper cites.
Breuer M. Fredholm theories in von Neumann algebras I. Math. Ann. Vol 178, pp. 243-254 (1968)
1968
Earlier work this paper cites.
Busby RC. Double centralizers and extensions of C ∗ C^{*} -algebras. Trans. Amer. Math. Soc. Vol 132, Issue 1, pp. 79-99 (1968)
1968
Earlier work this paper cites.
Breuer M. Fredholm theories in von Neumann algebras II. Math. Ann. Vol 180, pp. 313-325 (1969)
1969
Earlier work this paper cites.
Coburn LA. The C ∗ C^{*} -algebra generated by an isometry II. Trans. Amer. Math. Soc. Vol 137, pp. 211-217 (1969)
1969
Earlier work this paper cites.
Haagerup U. On the dual weight for crossed products of von Neumann algebras I. Math. Scand. Vol 43, pp. 99-118 (1978)
1978
Earlier work this paper cites.
Haagerup U. On the dual weight for crossed products of von Neumann algebras II. Math. Scand. Vol 43, pp. 119-140 (1978)
1978
Earlier work this paper cites.
Haagerup U. Operator valued weights in von Neumann algebras I. J. Funct. Anal. Vol 32, pp. 175-206 (1979)
1979
Earlier work this paper cites.
Pedersen P. C ∗ C^{*} -algebras and their automorphism groups. Academic Press (1979)
1979
Earlier work this paper cites.
Kasparov GG. The operator K K -functor and extensions of C ∗ C^{*} -algebras. Izv. Ross. Akad. Nauk Ser. Mat. Vol 44, Issue 3, pp. 571-636 (1980)
1980
Earlier work this paper cites.
Sutherland CE. Cohomology and extensions of von Neumann algebras I. Pub., RIMS. Kyoto Univ. Vol 16, pp. 105-133 (1980)
1980
Earlier work this paper cites.
Connes A. An analogue of the Thom lsomorphism for crossed products of a C ∗ C^{*} -algebra by an action of ℝ \mathbb{R} . Adv. Math. Vol 39, pp. 31-55 (1981)
1981
Earlier work this paper cites.
Fack T, Skandalis G. Connes’ analogue of the Thom isomorphism for the Kasparov groups. Invent. Math. Vol 64, pp. 7-14 (1981)
1981
Earlier work this paper cites.
Connes A. A survey of foliations and operator algebras. Proc. Symp. Pure Math. Vol 38, Part I, pp. 521-628 (1982)
1982
Earlier work this paper cites.
Takai H. Duality for C ∗ C^{*} -crossed products and its applications. Operator algebras and applications, Part 1. Amer. Math. Soc. Providence, RI. pp. 369-373 (1982)
1982
Earlier work this paper cites.
Blackadar B. K K -theory for operator algebras. Math. Sci. Res. Inst. Publ. Vol 5. Springer (1986)
1986
Earlier work this paper cites.
Pedersen G.K. S A W ∗ SAW^{*} -algebras and corona C ∗ C^{*} -algebras, contributions to non-commutative topology. J. Operator Theory. Vol 4, pp. 15-32 (1986)
1986
Earlier work this paper cites.
Elliott GA, Natsume T, Nest R. Cyclic cohomology for one-parameter smooth crossed products. Acta Math. Vol 160, Issue 1, pp. 285-305 (1988)
1988
Earlier work this paper cites.
Kasparov GG. Equivariant K K KK -theory and the Novikov conjecture. Inventiones mathematicae. Vol 91, Issue 1, pp. 147-201 (1988)
1988
Earlier work this paper cites.
Atiyah M. K K -theory. Advanced Book Classics. Addison-Wesley (1989)
1989
Earlier work this paper cites.
Ji R. On the smoothed Toeplitz extensions and K K -theory. Proc. Amer. Math. Soc. Vol 109, Issue 1 (1990)
1990
Earlier work this paper cites.
Lesch M. On the index of the infinitesimal generator of a flow. J. Operator Theory. Vol 25, pp. 73-92 (1991)
1991
Earlier work this paper cites.
Berline N, Getzler E, Vergne M. Heat kernels and Dirac operators. Springer-Verlag (1992)
1992
Earlier work this paper cites.
Getzler E. The odd Chern character in cyclic homology and spectral flow. Topology. Vol 32, Issue 3, pp. 489-507 (1993)
1993
Earlier work this paper cites.
Olsen W. K K -theory of C ∗ C^{*} -algebras - a friendly approach. Oxford University Press (1993)
1993
Earlier work this paper cites.
Rieffel MA. Deformation quantization for actions of ℝ d \mathbb{R}^{d} . Mem. Amer. Math. Soc. Vol 106, Issue 506 (1993)
1993
Cited alongside, same era.
Rieffel MA. Compact quantum groups associated with toral subgroups. Contemp. Math. Vol 145. Amer. Math. Soc. Providence, RI. pp. 465-491 (1993)
1993
Cited alongside, same era.
Rieffel MA. K K -groups of C ∗ C^{*} -algebras deformed by actions of ℝ d \mathbb{R}^{d} . J. Funct. Anal. Vol 116, pp. 199-214 (1993)
1993
Cited alongside, same era.
Avron JE, Seiler R, Simon B. Charge deficiency, charge transport and comparison of dimensions. Comm. Math. Phys. Vol 159, pp. 399-422 (1994)
1994
Cited alongside, same era.
Bellissard J, van Elst A, Schulz-Baldes H. The non-commutative geometry of the quantum Hall effect. J. Math. Physics. Vol 35, Issue 10, pp. 5373-5451 (1994)
1994
Cited alongside, same era.
Borris M, Verch R. Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering. Comm. Math. Phys. Vol 293, Issue 2, pp. 399-448 (2010)
2010
Later among the works it cites.
Goffeng M. Index formulas and charge deficiencies on the Landau levels. J. Math. Phys. Vol 51, Issue 2, pp. 023509-023509 (2010)
2010
Later among the works it cites.
Lein M, Măntoiu M, Richard S. Magnetic pseudodifferential operators with coefficients in C ∗ C^{*} -algebras. Publ. RIMS Kyoto Univ. Vol 46, pp. 755-788 (2010)
2010
Later among the works it cites.
Yamashita M. Connes-Landi deformation of spectral triples. Lett. Math. Phys. Vol 94, Issue 3, pp. 263–291 (2010)
2010
Later among the works it cites.
Buchholtz D, Lechner G, Summers S. Warped convolutions, Rieffel deformations and the construction of quantum field theories. Comm. Math. Phys. Vol 304, pp. 95-123 (2011)
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Phillips J, Raeburn I. An index theorem for Toeplitz operators with noncommutative symbol space. J. Funct. Anal. Vol 120, pp. 239-263 (1994)
1994
Cited alongside, same era.
Rieffel MA. Quantization and C ∗ C^{*} -algebras. Contemp. Math. Vol 167. pp. 67-97 (1994)
1994
Cited alongside, same era.
Phillips J. Self-adjoint Fredholm operators and spectral flow. Canad. Math. Bull. Vol 39, Issue 4, pp. 460-467 (1996)
1996
Cited alongside, same era.
Carey A, Phillips J. Unbounded Fredholm modules and spectral flow. Canadian J. Math. Vol 50, Issue 4, pp. 673-718 (1998)
1998
Cited alongside, same era.
Kosaki H. Type III factors and index theory. Notes based on lectures given at Seoul National University (1998)
1998
Cited alongside, same era.
Carey A, Phillips J, Sukochev FA. Spectral flow and Dixmier traces. Adv. Math. Vol 173, Issue 1, pp. 68-113 (2003)
2003
Cited alongside, same era.
Takesaki M. Theory of operator algebras II. Springer-Verlag (2003)
2003
Cited alongside, same era.
2011
Later among the works it cites.
2011
Later among the works it cites.
Sangha A. K K KK -fibrations arising from Rieffel deformations. arXiv:1109.5968v1 (2011)
2011
Later among the works it cites.
Verch R. Quantum Dirac field on Moyal-Minkowski spacetime - Illustrating quantum field theory over Lorentzian spectral geometry. Acta Phys. Polon. B. Proceedings supplement. Vol 4, Issue 3, pp. 507-527 (2011)
2011
Later among the works it cites.
Carey A, Gayral V, Rennie A, Sukochev FA. Integration on locally compact noncommutative spaces. J. Funct. Anal. Vol 263, Issue 2, pp. 383-414 (2012)
2012
Later among the works it cites.
Hannabuss K, Mathai V. Noncommutative principal torus bundles via parametrised strict deformation quantization. Lett. Math. Phys. Vol 102, Issue 1, pp. 107-123 (2012)
2012
Later among the works it cites.
Kaad J, Nest R, Rennie A. K K KK -Theory and spectral flow in von Neumann algebras. J. K-Theory Vol 10, pp. 241-277 (2012)
2012
Later among the works it cites.
Much A. Wedge-local quantum fields on a nonconstant noncommutative spacetime. J. Math. Phys. Vol 53, Issue 8, pp. 082303-082303 (2012)
2012
Later among the works it cites.
Rosenberg J. Examples and applications of noncommutative geometry and K K -theory. Clay. Math. Proc. Vol 16, pp. 93-130 (2012)
2012
Later among the works it cites.
Bhowmick J, Neshveyev S, Sangha A. Deformation of operator algebras by Borel cocycles. J. Funct. Anal. Vol 265, Issue 6, pp. 983-1001 (2013)
2013
Later among the works it cites.
Carey A, Phillips J, Rennie A, Sukochev FA. The local index formula in noncommutative geometry revisited. In: Noncommutative Geometry and Physics, pp. 3-36. Singapore: World Scientific (2013)
2013
Later among the works it cites.
Prodan E, Leung B, Bellissard J. The non-commutative n n th Chern number ( n ≥ 1 n\geq 1 ). J. Phys. A: Math. Theor. Vol 46, Issue 48, pp. 485202-485221 (2013)
2013
Later among the works it cites.
Andersson A. Operator deformations in quantum measurement theory. Lett. Math. Phys. Vol 104, Issue 4, pp. 415-430 (2014)
2014
Closest in time.
Beltiţă I, Măntoiu M. Rieffel deformation and twisted crossed products. Int. Math. Res. Not. IMRN. Issue 2, pp. 551-567 (2014)
2014
Closest in time.
Carey A, Gayral V, Rennie A, Sukochev F.A. Index theory for locally compact noncommutative geometries. Mem. Amer. Math. Soc. Vol 231, Issue 1085 (2014)
2014
Closest in time.
Matassa M. A modular spectral triple for κ \kappa -Minkowski space. J. Geom. Phys. Vol 76C, pp. 136-157 (2014)
2014
Closest in time.
Much A. Quantum mechanical effects from deformation theory. J. Math. Phys. 55, id.022302 (2014)
2014
Closest in time.
Neshveyev S. Smooth crossed product of Rieffel’s deformations. Lett. Math. Phys. Vol 104, Issue 3, pp. 361-371 (2014)
2014
Closest in time.
Neshveyev S, Tuset L. Deformation of C ∗ C^{*} -algebras by cocycles on locally compact quantum groups. Adv. Math. Vol 254, pp. 454-496 (2014)
2014
Closest in time.
2014
Closest in time.
Andersson A. Electromagnetism in terms of quantum measurements. arXiv:1509.04888 (2015)
2015
Closest in time.
Carey A, Gayral V, Phillips J, Rennie A, Sukochev FA. Spectral flow for nonunital spectral triples. Canad. J. Math. Vol 67, pp. 759-794 (2015)
2015
Closest in time.
Much A. Self-adjointness of deformed unbounded operators. J. Math. Phys. Vol 56, p. 093501 (2015)
2015
Closest in time.