An Introduction to C -Algebras and Noncommutative Geometry (Birkh user Advanced Texts Basler Lehrb cher) free ebook download.

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An Introduction to C -Algebras and Noncommutative Geometry (Birkh user Advanced Texts Basler Lehrb cher) free ebook download

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Author(s):	Heath Emerson

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031598490
Pages:	552	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	8/3/2024 2:07:46 AM

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3031598490 pdf
3031598490 pdf
3031598490 pdf
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.
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Tags: Advanced Basler Birkh C*-Algebras Geometry Introduction Lehrb Noncommutative Texts user

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