001452321 000__ 03221cam\a2200541\i\4500 001452321 001__ 1452321 001452321 003__ OCoLC 001452321 005__ 20230310003350.0 001452321 006__ m\\\\\o\\d\\\\\\\\ 001452321 007__ cr\un\nnnunnun 001452321 008__ 230123s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001452321 019__ $$a1356793568$$a1356794936$$a1357017213$$a1363106772 001452321 020__ $$a9783031122019$$q(electronic bk.) 001452321 020__ $$a3031122011$$q(electronic bk.) 001452321 020__ $$z9783031122002 001452321 020__ $$z3031122003 001452321 0247_ $$a10.1007/978-3-031-12201-9$$2doi 001452321 035__ $$aSP(OCoLC)1363842168 001452321 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX$$dSFB$$dOCLCQ 001452321 049__ $$aISEA 001452321 050_4 $$aQC173.458.M38 001452321 08204 $$a530.410151$$223/eng/20230123 001452321 1001_ $$aSchulz-Baldes, Hermann,$$eauthor. 001452321 24510 $$aHarmonic analysis in operator algebras and its applications to index theory and topological solid state systems /$$cHermann Schulz-Baldes, Tom Stoiber. 001452321 264_1 $$aCham :$$bSpringer,$$c2022. 001452321 300__ $$a1 online resource (xxiv, 206 pages) :$$billustrations 001452321 336__ $$atext$$btxt$$2rdacontent 001452321 337__ $$acomputer$$bc$$2rdamedia 001452321 338__ $$aonline resource$$bcr$$2rdacarrier 001452321 4901_ $$aMathematical physics studies,$$x2352-3905 001452321 504__ $$aIncludes bibliographical references and index. 001452321 5050_ $$aPreliminaries on Crossed Products -- Besov Spaces for Isometric G-actions -- Quantum Differentiation and Index Theorems -- Duality for Toeplitz Extensions -- Applications to Solid State Systems. 001452321 506__ $$aAccess limited to authorized users. 001452321 520__ $$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. 001452321 588__ $$aDescription based on print version record. 001452321 650_0 $$aCondensed matter$$xMathematics. 001452321 650_0 $$aMathematical physics. 001452321 650_0 $$aBesov spaces. 001452321 655_0 $$aElectronic books. 001452321 7001_ $$aStoiber, Tom,$$eauthor. 001452321 77608 $$iPrint version:$$aSCHULZ-BALDES, HERMANN. STOIBER, TOM.$$tHARMONIC ANALYSIS ON OPERATOR ALGEBRAS AND ITS APPLICATIONS TO INDEX THEORY.$$d[S.l.] : SPRINGER INTERNATIONAL PU, 2022$$z3031122003$$w(OCoLC)1332781418 001452321 830_0 $$aMathematical physics studies,$$x2352-3905 001452321 852__ $$bebk 001452321 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-12201-9$$zOnline Access$$91397441.1 001452321 909CO $$ooai:library.usi.edu:1452321$$pGLOBAL_SET 001452321 980__ $$aBIB 001452321 980__ $$aEBOOK 001452321 982__ $$aEbook 001452321 983__ $$aOnline 001452321 994__ $$a92$$bISE