Fetching the paper…
Reading the bibliography…
The notion of a topological phase of an insulator is based on the concept of homotopy between Hamiltonians.
M. Pimsner, D. Voiculescu. Exact sequences for K K -groups of certain cross products of C ∗ C^{*} -algebras
1980
Earlier work this paper cites.
P. de la Harpe, Classical groups and classical Lie algebras of operators
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale and M. den Nijs. Quantized Hall conductance in a two-dimensional periodic potential
1982
Earlier work this paper cites.
J. Bellissard. K-theory of C ∗ C^{*} -Algebras in solid state physics
1986
Earlier work this paper cites.
A. van Daele, K-theory for graded Banach algebras I
1988
Earlier work this paper cites.
Van Daele, A. A note on the K-group of a graded Banach algebra
1988
Earlier work this paper cites.
J. Packer, I. Raeburn. Twisted crossed products of C*-algebras
1989
Earlier work this paper cites.
H. Schröder, K K -theory for real C ∗ C^{*} -algebras and applications
1993
Earlier work this paper cites.
Jean Bellissard, Andreas van Elst, and Hermann Schulz-Baldes. The noncommutative geometry of the quantum Hall effect
1994
Cited alongside, same era.
J. Kellendonk. Noncommutative geometry of tilings and gap labelling
1995
Cited alongside, same era.
B. Blackadar. K-theory for operator algebras
1998
Cited alongside, same era.
J. Bellissard, D. Herrmann, M. Zarrouati. “Hull of aperiodic solids and gap labeling theorems.” Directions in mathematical quasicrystals 13 (2000), 207–258
2000
Cited alongside, same era.
M Rordam, F Larsen, N.J. Laustsen An Introduction to K-theory of C ∗ C^{*} -algebras
2000
Cited alongside, same era.
L. Sadun and R. F. Williams. Tiling spaces are Cantor set fiber bundles
2003
S. Echterhoff and D. Williams. Inducing primitive ideals
2008
Later among the works it cites.
J. Kellendonk, S. Richard. Topological boundary maps in physics
2008
Later among the works it cites.
A. P. Schnyder, S. Ryu, A. Furusaki, A.W.W. Ludwig, Classification of topological insulators and superconductors in three spatial dimensions
2008
Later among the works it cites.
A. Kitaev, Periodic table for topological insulators and superconductors
2009
Later among the works it cites.
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
J. Roe, Paschke duality for real and graded C ∗ C^{*} -algebras
2004
Cited alongside, same era.
M. Mantoiu, R. Purice, S. Richard. Twisted crossed products and magnetic pseudodifferential operators
2005
Cited alongside, same era.
J. L. Boersema, T. A. Loring. K-theory for real C ∗ C^{*} -algebras via unitary elements with symmetries
Cited in the paper.
Cited in the paper.
Cited in the paper.
H. Schulz-Baldes, ℤ 2 {\mathbb{Z}}_{2} indices of odd symmetric Fredholm operators
Cited in the paper.
2015
Closest in time.
D.S. Freed, G.W. Moore Twisted Equivariant Matter
2023
Closest in time.