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Opis

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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Topology

• Pełny tytuł: An Introduction to C*-Algebras and Noncommutative Geometry
• Autor: Heath Emerson
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 421
• EAN: 9783031598494
• ID: 45533801
• Wydawca: Springer, Berlin
• Wymiary: 235 × 155 mm
• Data wydania: 06. September 2024

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