9783031598524 - an introduction to c*-algebras and noncommutative geometry: de (birkhäuser advanced texts basler lehrbücher) von emerson, heath (4 Ergebnisse)

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Taschenbuch. Zustand: Neu. An Introduction to C*-Algebras and Noncommutative Geometry | Heath Emerson | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | xiii | Englisch | 2025 | Springer | EAN 9783031598524 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz…3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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\*-algebra…ic 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.