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The behavior of fermionic systems depends on the geometry of the system and the symmetry class of the Hamiltonian and observables.
Asymptotically commuting finite rank unitary operators without commuting approximants
Voiculescu, D.: · 1983
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A classification of approximately finite real C ∗ C^{*} -algebras
Giordano, T.: · 1988
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K K -theory and asymptotically commuting matrices
Loring, T.A.: · 1988
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K K -theory for real C ∗ C^{*} -algebras and applications
Schröder H.: · 1993
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The noncommutative geometry of the quantum Hall effect
Bellissard, J., van Elst, A.,Schulz-Baldes, H.: · 1994
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Jacobi angles for simultaneous diagonalization
Cardoso, J.F., Souloumiac, A.: · 1996
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Almost commuting selfadjoint matrices and applications
Lin, H.: · 1997
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Homomorphisms from C ( X ) C(X) into C ∗ C^{*} -algebras
Lin, H.: · 1997
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A least-squares approach to joint diagonalization
Wax M.,Sheinvald, J.: · 1997
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When matrices commute
Loring, T.A.: · 1998
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Factorization in C ∗ C^{\ast} -algebras
Pedersen, G.K.: · 1998
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Computing contingencies for stable relations
Eilers, S., Loring,T.A.: · 1999
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Morphisms of extensions of C ∗ C^{*} -algebras: pushing forward the Busby invariant
Eilers, S., Loring,T.A., Pedersen, G.K.: · 1999
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The spectral theorem in quaternions
Farenick, D.R., Pidkowich, B.A.F.: · 2003
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Computation of maximally localized Wannier functions using a simultaneous diagonalization algorithm
Gygi, F. Fattebert, J.L., Schwegler, E.: · 2003
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Real operator algebras
Li, B.: · 2003
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The quaternion LMS algorithm for adaptive filtering of hypercomplex processes
Took, C.C., Mandic, D.P.: · 2009
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Almost commuting matrices, localized Wannier functions, and the quantum Hall effect
Hastings M.B., Loring, T.A.: · 2010
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Disordered topological insulators via C ∗ C^{*} -algebras
Loring, T.A., Hastings M.B.: · 2010
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Projective ribbon permutation statistics: A remnant of non-abelian braiding in higher dimensions
Freedman, M., Hastings, M.B.,Nayak, C., Qi, X.L., Walker, K. Wang, Z.: · 2011
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Topological insulators and C ∗ C^{*} -algebras: Theory and numerical practice
Hastings M.B., Loring, T.A.: · 2011
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Disordered topological insulators: a non-commutative geometry perspective
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Mehta, M.L.: · 2004
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Topology and phases in fermionic systems
Hastings M.B.: · 2008
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Periodic table for topological insulators and superconductors
Kitaev, A.: · 2009
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Almost commuting self-adjoint matrices — the real and self-dual cases
Loring, T.A., Sørensen, A.P.W. :
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Prodan, E.: · 2011
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Wannier representation of ℤ 2 \mathbb{Z}_{2} topological insulators
Soluyanov, A.A., Vanderbilt, D,: · 2011
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Factorization of matrices of quaternions
Loring, T.A.: · 2012
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Semiprojectivity and the geometry of graphs,
Sørensen, A.P.W.: · 2012
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