LEADER 03253nam  22006255  450 
001 9910637730003321
005 20221231122049.0
010   $a3-031-12201-1
024 7 $a10.1007/978-3-031-12201-9
035   $a(MiAaPQ)EBC7165706
035   $a(Au-PeEL)EBL7165706
035   $a(CKB)25913950200041
035   $a(DE-He213)978-3-031-12201-9
035   $a(EXLCZ)9925913950200041
100   $a20221231d2022      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aHarmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems /$fby Hermann Schulz-Baldes, Tom Stoiber
205   $a1st ed. 2022.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022.
215   $a1 online resource (225 pages)
225 1 $aMathematical Physics Studies,$x2352-3905
311 08$aPrint version: Schulz-Baldes, Hermann Harmonic Analysis in Operator Algebras and Its Applications to Index Theory and Topological Solid State Systems Cham : Springer International Publishing AG,c2023 9783031122002 
327   $aPreliminaries on Crossed Products -- Besov Spaces for Isometric G-actions -- Quantum Differentiation and Index Theorems -- Duality for Toeplitz Extensions -- Applications to Solid State Systems.
330   $aThis book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.
410  0$aMathematical Physics Studies,$x2352-3905
606   $aCondensed matter
606   $aAlgebra
606   $aGroup theory
606   $aK-theory
606   $aCondensed Matter Physics
606   $aAlgebra
606   $aGroup Theory and Generalizations
606   $aK-Theory
615  0$aCondensed matter.
615  0$aAlgebra.
615  0$aGroup theory.
615  0$aK-theory.
615 14$aCondensed Matter Physics.
615 24$aAlgebra.
615 24$aGroup Theory and Generalizations.
615 24$aK-Theory.
676   $a515.73
700   $aSchulz-Baldes$b Hermann$0803692
702   $aStoiber$b Tom  
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910637730003321
996   $aHarmonic analysis in operator algebras and its applications to index theory and topological solid state systems$93089157
997   $aUNINA