Almost commuting self-adjoint matrices --- the real and self-dual cases

J. von Neumann, Beweis des ergodensatzes und des H H -theorems in der neuen mechanik , Zeitschrift f ur Physik A Hadrons and Nuclei 57

1929

Earlier work this paper cites.

Freeman J Dyson, The threefold way. algebraic structure of symmetry groups and ensembles in quantum mechanics , Journal of Mathematical Physics 3

1962

Earlier work this paper cites.

M. F. Atiyah, K K -theory and reality , Quart. J. Math. Oxford Ser. (2) 17

1966

Earlier work this paper cites.

T. W. Palmer, Real C ∗ C^{*} -algebras , Pacific J. Math. 35

1970

Earlier work this paper cites.

G. G. Kasparov, Hilbert C ∗ C^{\ast} -modules: theorems of Stinespring and Voiculescu , J. Operator Theory 4

1980

Earlier work this paper cites.

A. Guyan Robertson, Stable range in C ∗ C^{\ast} -algebras , Math. Proc. Cambridge Philos. Soc. 87

1980

Earlier work this paper cites.

K. R. Goodearl, Notes on real and complex C ∗ C^{\ast} -algebras , Shiva Mathematics Series, vol. 5, Shiva Publishing Ltd., Nantwich, 1982. MR 677280 (85d:46079)

1982

Earlier work this paper cites.

Marc A. Rieffel, Dimension and stable rank in the K K -theory of C ∗ C^{\ast} -algebras , Proc. London Math. Soc. (3) 46

1983

Earlier work this paper cites.

Bruce Blackadar, Shape theory for C ∗ C^{\ast} -algebras , Math. Scand. 56

1985

Earlier work this paper cites.

E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for C ∗ C^{\ast} -algebras , Geometric methods in operator algebras (Kyoto, 1983), Pitman Res. Notes Math. Ser., vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 152–180. MR 866493 (88a:46082)

1986

Earlier work this paper cites.

P. J. Stacey, Stability of involutory ∗ * -antiautomorphisms in UHF algebras , J. Operator Theory 24

1990

Earlier work this paper cites.

Lawrence G. Brown and Gert K. Pedersen, C ∗ C^{*} -algebras of real rank zero , J. Funct. Anal. 99

1991

Earlier work this paper cites.

Marius Dădărlat, Shape theory and asymptotic morphisms for C ∗ C^{*} -algebras , Duke Math. J. 73

1994

Earlier work this paper cites.

Peter Friis and Mikael Rørdam, Almost commuting self-adjoint matrices—a short proof of Huaxin Lin’s theorem , J. Reine Angew. Math. 479

1996

Earlier work this paper cites.

by same author, Stable relations. II. Corona semiprojectivity and dimension-drop C ∗ C^{*} -algebras , Pacific J. Math. 172

1996

Cited alongside, same era.

Alexander Altland and Martin R Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures , Physical Review B 55

1997

Cited alongside, same era.

Huaxin Lin, Almost commuting selfadjoint matrices and applications , Operator algebras and their applications (Waterloo, ON, 1994/1995), Fields Inst. Commun., vol. 13, Amer. Math. Soc., Providence, RI, 1997, pp. 193–233. MR 1424963 (98c:46121)

1997

Cited alongside, same era.

by same author, Lifting solutions to perturbing problems in C ∗ C^{*} -algebras , Fields Institute Monographs, vol. 8, American Mathematical Society, Providence, RI, 1997. MR 1420863 (98a:46090)

1997

Cited alongside, same era.

M. B. Hastings, Topology and phases in fermionic systems , J. Stat. Mech. Theory Exp. (2008), no. 1, L01001, 8. MR 2373523 (2009d:81434)

2008

Later among the works it cites.

by same author, Making almost commuting matrices commute , Comm. Math. Phys. 291

2009

Later among the works it cites.

M.B. Hastings and T.A. Loring, Almost commuting matrices, localized wannier functions, and the quantum hall effect , Journal of Mathematical Physics 51

2010

Closest in time.

by same author, Topological insulators and C ∗ C^{*} -algebras: Theory and numerical practice , Arxiv preprint arXiv:1012.1019 (2010)

Original

2010

Closest in time.

T.A. Loring and M.B. Hastings, Disordered topological insulators via C ∗ C^{*} -algebras , EPL (Europhysics Letters) 92

2010

Closest in time.