02049nas0-22004331i-450-99000015570020331620080402164507.00018-92510015570USA010015570(ALEPH)000015570USA01001557019960304a----9999km-y0itay0103----baengUSaha----0--1IEEE transactions on aerospace and electronic systemsa publication of IEEE Aerospace and Electronic Systems SocietyNew YorkInstitute of Electrical and Electronics EngineersComincia nel 1965Continuazione di: IEEE Transaction. Aerospace.Trimestrale621.38Sistema bibliotecario di Ateneo dell' Università di SalernoRICA990000155700203316TECPER II T 171986- 1991; 1993-2003.1986-1987,1990-1991.SE1996030420001110USA011712JOHNNY9020020225USA011607JOHNNY9020020225USA01164520020403USA011623PATRY9020040406USA011611PATRY9020080402USA011645IEEE transactions on aerospace and electronic systems796243UNISAUSA50AdministrativeISSBDTECTECII T 17 (DIIIE)16492 IngB109420021212200137109NON PrestabileVol.37, nn. 1-4 (2001)200103202001032720020226USA50AdministrativeISSBDTECTECII T 17 (DIIIE)16992 IngB172320030123200238109NON PrestabileVol.38, nn. 1-4 (2002)200203202002032720020418USA50AdministrativeISSBDTECTECII T 17 (DIIIE)17665 IngB4432820031206200339109NON PrestabileVol.39, nn. 1-4 (2003)200303202003032720030410USA50AdministrativeISSUETECTECII T 17 (DIIIE)15570-16020040217200440109NON PrestabileVol.40, n. 1 (2004)200403202004032703267nam 22005175 450 991048430550332120251113211856.03-030-47465-810.1007/978-3-030-47465-2(CKB)4100000011665191(DE-He213)978-3-030-47465-2(MiAaPQ)EBC6455971(PPN)252514920(EXLCZ)99410000001166519120201215d2021 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAn Introduction to C*-Algebras and the Classification Program /by Karen R. Strung ; edited by Francesc Perera1st ed. 2021.Cham :Springer International Publishing :Imprint: Birkhäuser,2021.1 online resource (XIII, 322 p.) Advanced Courses in Mathematics - CRM Barcelona,2297-03123-030-47464-X Banach algebras and spectral theory -- The Gelfand representation -- C*-algebra basics -- Positive elements -- Positive linear functionals and representations -- Weak and strong operator topologies and von Neumann algebras -- Tensor products for C*-algebras -- Completely positive maps -- Inductive limits and approximately finite (AF) C*-algebras -- Group C*-algebras and crossed products -- Cuntz algebras -- Quasidiagonal C*-algebras -- K-theory for unital C*-algebras -- Classification of AF-algebras -- Nuclear dimension -- Strongly self-absorbing algebras -- The Jiang-Su algebra -- Strict comparison and the Cuntz semigroup -- The Classification Theorem and the Toms-Winter Theorem.This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras. The text is divided into three parts. First, elementary notions, classical theorems and constructions are developed. Then, essential examples in the theory, such as crossed products and the class of quasidiagonal C*-algebras, are examined, and finally, the Elliott invariant, the Cuntz semigroup, and the Jiang-Su algebra are defined. It is shown how these objects have played a fundamental role in understanding the fine structure of nuclear C*-algebras. To help understanding the theory, plenty of examples, treated in detail, are included. This volume will also be valuable to researchers in the area as a reference guide. It contains an extensive reference list to guide readers that wish to travel further.Advanced Courses in Mathematics - CRM Barcelona,2297-0312Functional analysisAlgebraFunctional AnalysisOrder, Lattices, Ordered Algebraic StructuresFunctional analysis.Algebra.Functional Analysis.Order, Lattices, Ordered Algebraic Structures.512.55Strung Karen R.1220965MiAaPQMiAaPQMiAaPQBOOK9910484305503321-Algebras and the Classification Program4463149UNINA