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Titlebook: An Introduction to C*-Algebras and Noncommutative Geometry; Heath Emerson Textbook 2024 Springer Nature Switzerland AG 2024 C*-algebras.K-

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期刊全称An Introduction to C*-Algebras and Noncommutative Geometry
影响因子2023Heath Emerson
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发行地址The first textbook on C*-algebra theory with a view toward noncommutative geometry .Accessible to graduates, advanced undergraduates, & mathematicians who wish to learn more about noncommutative geome
学科分类Birkhäuser Advanced Texts‘ Basler Lehrbücher
图书封面Titlebook: An Introduction to C*-Algebras and Noncommutative Geometry;  Heath Emerson Textbook 2024 Springer Nature Switzerland AG 2024 C*-algebras.K-
影响因子.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 diff
Pindex Textbook 2024
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978-3-031-59852-4Springer Nature Switzerland AG 2024
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https://doi.org/10.1007/978-1-349-08655-9able calculus, typically over the plane, or the plane with punctures, or holes. Such integrals are insensitive to small deformations of the curves and suggest studying the curves up to homotopy. Since such regions of the plane are locally simply connected, the . properties of curves from this point
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https://doi.org/10.1007/978-1-349-08655-9(Riemannian) Geometry is based on using ideas from classical Index Theory to endow potentially noncommutative C*-algebras with further geometric structure. For example, the C*-algebra . for a compact smooth manifold . contains the dense and holomorphically closed subalgebra ., and the geometry of .
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