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We present a rigorous and fully consistent $K$-theoretic framework for studying gapped topological phases of free fermions such as topological insulators.
Clifford modules
M.F. Atiyah, R. Bott, and A. Shapiro · 1964
Earlier work this paper cites.
Verallgemeinerte L 1 {L}^{1} -Algebren
H. Leptin · 1965
Earlier work this paper cites.
K {K} -theory and reality
M.F. Atiyah · 1966
Earlier work this paper cites.
Algebraic topology
E.H. Spanier · 1966
Earlier work this paper cites.
Algèbres de Clifford et K {K} -théorie
M. Karoubi · 1968
Earlier work this paper cites.
Index theory for skew-adjoint Fredholm operators
M.F. Atiyah and I.M. Singer · 1969
Earlier work this paper cites.
Symplectic bundles and K R {KR} -theory
J.L. Dupont · 1969
Earlier work this paper cites.
Projective unitary antiunitary representations of locally compact groups
K.R. Parthasarathy · 1969
Earlier work this paper cites.
Representations of twisted group algebras
R.C. Busby and H.A. Smith · 1970
Earlier work this paper cites.
Graded Brauer groups and K {K} -theory with local coefficients
P. Donovan and M. Karoubi · 1970
Earlier work this paper cites.
Algèbres de Clifford et opérateurs de Fredholm
M. Karoubi · 1970
Earlier work this paper cites.
K {K} -theory: An Introduction
M. Karoubi · 1978
Earlier work this paper cites.
C ⋆ {C}^{\star} -algebras and their automorphism groups
G.K. Pedersen · 1979
Earlier work this paper cites.
An analogue of the Thom isomorphism for crossed products of a C ⋆ {C}^{\star} -algebra by an action of ℝ \mathbb{R}
A. Connes · 1981
Earlier work this paper cites.
Spin geometry
H.B. Lawson and M.-L. Michelsohn · 1989
Earlier work this paper cites.
Twisted crossed products of C ⋆ {C}^{\star} -algebras
J.A. Packer and I. Raeburn · 1989
Earlier work this paper cites.
Quantum Hall effect and the relative index for projections
J.E. Avron, R. Seiler, and B. Simon · 1990
Earlier work this paper cites.
Twisted crossed products of C ⋆ {C}^{\star} -algebras. II
J.A. Packer and I. Raeburn · 1990
Earlier work this paper cites.
K {K} -theory for real C ⋆ {C}^{\star} -algebras and applications
H. Schröder · 1993
Cited alongside, same era.
K {K} -theory and C ⋆ {C}^{\star} -algebras: A Friendly Approach
N.E. Wegge-Olsen · 1993
Cited alongside, same era.
Charge deficiency, charge transport and comparison of dimensions
J.E. Avron, R. Seiler, and B. Simon · 1994
Cited alongside, same era.
The noncommutative geometry of the quantum hall effect
J. Bellissard, A. van Elst, and H. Schulz-Baldes · 1994
Cited alongside, same era.
K {K} -theory, group C ⋆ {C}^{\star} -algebras, and higher signatures (conspectus)
G.G. Kasparov · 1995
Cited alongside, same era.
Hilbert C ⋆ {C}^{\star} -modules: A toolkit for operator algebraists
E.C. Lance · 1995
Cited alongside, same era.
Twisted K {K} -theory, old and new
M. Karoubi · 2008
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Classification of topological insulators and superconductors in three spatial dimensions
A.P. Schnyder, S. Ryu, A. Furusaki, and A.W.W. Ludwig · 2008
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Periodic table for topological insulators and superconductors
A. Kitaev · 2009
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Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
X. Chen, Z.-C. Gu, and X.-G. Wen · 2010
Later among the works it cites.
Positive energy quantization of linear dynamics
J. Dereziński and C. Gérard · 2010
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Colloquium: topological insulators
M.Z. Hasan and C.L. Kane · 2010
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Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
A. Altland and M.R. Zirnbauer · 1997
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K {K} -theory for operator algebras
B. Blackadar · 1998
Cited alongside, same era.
Elements of noncommutative geometry
J.M. Gracia-Bondía, J.C. Várilly, and H. Figueroa · 2001
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Noncommutative Bloch theory
M.J. Gruber · 2001
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Boundary maps for C ⋆ {C^{\star}} -crossed products with with an application to the quantum Hall effect
J. Kellendonk and H. Schulz-Baldes · 2004
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Quantization of edge currents for continuous magnetic operators
J. Kellendonk and H. Schulz-Baldes · 2004
Cited alongside, same era.
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Topological insulators and superconductors: tenfold way and dimensional hierarchy
S. Ryu, A.P. Schnyder, A. Furusaki, and A.W.W. Ludwig · 2010
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Topological insulators and superconductors
X.-L. Qi and S.-C. Zhang · 2011
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Symmetries, dimensions and topological insulators: The mechanism behind the face of the Bott clock
M. Stone, C.-K. Chiu, and A. Roy · 2011
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Clifford modules and symmetries of topological insulators
G. Abramovici and P. Kalugin · 2012
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Classification of topological insulators and superconductors in the presence of reflection symmetry
C.-K. Chiu, H. Yao, and S. Ryu · 2013
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Mathematics of Quantization and Quantum Fields
J. Dereziński and C. Gérard · 2013
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Twisted equivariant matter
D.S. Freed and G.W. Moore · 2013
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Classification of “Quaternionic” Bloch-bundles: Topological insulators of type A I I {AII}
G. De Nittis and K. Gomi · 2014
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Graded rings and graded Grothendieck groups
R. Hazrat · 2014
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The non-commutative geometry of the complex classes of topological insulators
E. Prodan · 2014
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Topological phases of matter, symmetries, and K {K} -theory
G.C. Thiang · 2014
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