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We present a natural imbedding of the crossed product $\mathcal A \rtimes_\xi \mathbb Z^d$ into the $C^\ast$-algebra of adjointable operators over the standard Hilbert $\mathcal A$-module $\mathcal H_{\mathcal A}$.
A theory of analytic functions in banach algebras
E. K. Blum · 1955
Earlier work this paper cites.
Fredholm theories in von Neumann algebras I
M. Breuer · 1968
Earlier work this paper cites.
Double centralizer and extensions of C ∗ C^{*} -algebras
R. C. Busby · 1968
Earlier work this paper cites.
Fredholm theories in von Neumann algebras II
M. Breuer · 1969
Earlier work this paper cites.
Analytic formulas for the index of elliptic operators
B. V. Fedosov · 1974
Earlier work this paper cites.
Hilbert C ∗ C^{*} -modules; Theorems of Stinespring and Voiculescu
G. G. Kasparov · 1980
Earlier work this paper cites.
The index of elliptic operators over C ∗ C^{\ast} -algebras
A. S. Miščenko and A. T. Fomenko · 1980
Earlier work this paper cites.
Homogeneous C ∗ C^{\ast} -extensions of C ( X ) ⊗ K ( H ) C(X)\otimes K(H) . Part II
M. Pimsner, S. Popa, and D. Voiculescu · 1980
Earlier work this paper cites.
The operator K-functor and extensions of C ∗ C^{*} -algebras
G. G. Kasparov · 1981
Earlier work this paper cites.
C ∗ C^{\ast} -algebras associated with irrational rotations
M. A. Rieffel · 1981
Earlier work this paper cites.
Index theory in von Neumann algebras
C. L. Olsen · 1984
Earlier work this paper cites.
Noncommutative differential geometry
A. Connes · 1985
Earlier work this paper cites.
K-Theory and multipliers of stable C ∗ C^{\ast} -algebras
J. A. Mingo · 1987
Earlier work this paper cites.
Model for a Quantum Hall-Effect without Landau levels: Condensed-matter realization of the parity anomaly
F. D. M. Haldane · 1988
Cited alongside, same era.
Quantized hall effect in 3d periodic systems
M. Kohmoto, B. I. Halperin, and Y.-S. Wu · 1993
Cited alongside, same era.
Spectral invariance of dense subalgebras of operator algebras
L. B. Schweitzer · 1993
Cited alongside, same era.
K-Theory and C*-Algebras
N. E. Wegge-Olsen · 1993
Cited alongside, same era.
The non-commutative geometry of the Quantum Hall-Effect
J. Bellissard, A. van Elst, and H Schulz-Baldes · 1994
Cited alongside, same era.
Noncommutative Geometry
A. Connes · 1994
Cited alongside, same era.
The local index formula in semifinite von Neumann algebras I: Spectral flow
A. L. Carey, J. Phillips, A. Rennie, and F. A. Sukochev · 2006
Later among the works it cites.
The local index formula in semifinite von Neumann algebras II: The even case
A. L. Carey, J. Phillips, A. Rennie, and F. A. Sukochev · 2006
Later among the works it cites.
Classification of topological insulators and superconductors in three spatial dimensions
Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W. W. Ludwig · 2008
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Periodic table for topological insulators and superconductors
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Later among the works it cites.
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S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. Ludwig · 2010
Later among the works it cites.
Disordered topological insulators: A non-commutative geometry perspective
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A. Connes and H. Moscovici · 1995
Cited alongside, same era.
C ∗ C^{*} -algebras by example
Kenneth R. Davidson · 1996
Cited alongside, same era.
Spectral flow in type I and type II factors-a new approach
J. Phillips · 1997
Cited alongside, same era.
Tensor products of C ∗ C^{\ast} -algebras, operator spaces and Hilbert C ∗ C^{\ast} -modules
F. M. Brückler · 1999
Cited alongside, same era.
Noncommutative geometry of aperiodic solids
J. Bellissard · 2003
Cited alongside, same era.
The local index formula in noncommutative geometry
N. Higson · 2003
Cited alongside, same era.
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Later among the works it cites.
The local index formula in noncommutative geometry revisited
A. L. Carey, J. Phillips, A. Rennie, and F. A. Sukochev · 2013
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FractionalquantumHallphysicsintopologicalflatbands
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The non-commutative n-th Chern number ( n ≥ 1 n\geq 1 )
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Index pairings for ℝ n \mathbb{R}^{n} -actions and Rieffel deformations
A. Andersson · 2014
Later among the works it cites.
Index theory for locally compact noncommutative geometries
A. L. Carey, V. Gayral, A. Rennie, and F. A. Sukochev · 2014
Later among the works it cites.
The non-commutative geometry of the complex classes of topological insulators
E. Prodan · 2014
Later among the works it cites.