Observables Algebras for Solid State Systems

Part of the Mathematical Physics Studies book series (MPST)


This chapter introduces the C\(^*\)-algebras of bulk, half-space and boundary observables, together with their canonical representations which generate the physical models for topological insulators presented in Chap.  2. Then the exact sequence connecting these algebras is discussed. In particular, it is shown to be isomorphic to the Pimsner-Voiculescu exact sequence. This chapter also introduces the non-commutative analysis tools and the smooth sub-algebras to be used in the remainder of the book.


Boundary Observability Pimsner-Voiculescu Exact Sequence Fermi Projection Magnetic Translation Fourier Calculus 
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© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Physics DepartmentYeshiva UniversityNew YorkUSA
  2. 2.Department MathematikFriedrich-Alexander-Universität Erlangen-NürnbergErlangenGermany

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