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[null,"1.","Record Nr.",null,"UNINA9910878058803321"]
[null,null,"Autore",null,"Emerson Heath"]
[null,null,"Titolo",null,"An Introduction to C-Algebras and Noncommutative Geometry / / by Heath Emerson"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2024"]
[null,null,"ISBN",null,"9783031598500"]
[{"$nulls":4},"9783031598494"]
[null,null,"Edizione",null,"[1st ed. 2024.]"]
[null,null,"Descrizione fisica",null,"1 online resource (548 pages)"]
[null,null,"Collana",null,"Birkhäuser Advanced Texts Basler Lehrbücher, , 2296-4894"]
[null,null,"Disciplina",null,"512.55"]
[null,null,"Soggetti",null,"K-theory"]
[{"$nulls":4},"Topology"]
[{"$nulls":4},"Geometry, Differential"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"K-Theory"]
[{"$nulls":4},"Differential Geometry"]
[{"$nulls":4},"Dynamical Systems"]
[{"$nulls":4},"Functional Analysis"]
[{"$nulls":4},"C*-àlgebres"]
[{"$nulls":4},"Geometria diferencial no commutativa"]
[{"$nulls":4},"Teoria espectral (Matemàtica)"]
[{"$nulls":4},"K-teoria"]
[{"$nulls":4},"Teoria de l'índex (Matemàtica)"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"An introduction to C*-algebras -- An Introduction to Index Theory and Noncommutative Geometry -- Spectral Theory and Representation -- Positivity, Representations, Tensor Products and Ideals in C*-algebras -- Module theory of C*-algebras -- Morita Equivalence -- Topological K-theory and Clifford Algebras -- K-theory for C*algebras -- The Index Theorem of Atiyah and Singer -- K-homology and Noncommutative Geometry -- An Introduction to KK-theory -- Bibliography."]
[null,null,null,"Sommario/riassunto","This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of K-theory and its relation to the C*-algebraic picture. The text can be used as the basis for a graduate level or a capstone course with the goal being to bring a relative novice up to speed on the basic ideas while offering a glimpse at some of the more advanced topics of the subject. Coverage includes C*-algebra theory, K-theory, K-homology, Index theory and Connes’ Noncommuntative Riemannian geometry. Aimed at graduate level students, the book is also a valuable resource for mathematicians who wish to deepen their understanding of noncommutative geometry and algebraic K-theory. A wide range of important examples are introduced at the beginning of the book. There are lots of excellent exercises and any student working through these will benefit significantly. Prerequisites include a basic knowledge of algebra, analysis, and a bit of functional analysis. As the book progresses, a little more mathematical maturity is required as the text discusses smooth manifolds, some differential geometry and elliptic operator theory, and K-theory. The text is largely self-contained though occasionally the reader may opt to consult more specialized material to further deepen their understanding of certain details."]