{"product_id":"an-introduction-to-c-algebras-and-noncommutative-geometry-9783031598524","title":"An Introduction to C*-Algebras and Noncommutative Geometry","description":"\u003cp\u003e • Author(s): Heath Emerson\u003cbr\u003e • Publisher: Birkhauser\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Algebra - Abstract\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e \u003cp\u003eAimed 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.\u003c\/p\u003e","brand":"Birkhauser","offers":[{"title":"Paperback","offer_id":46863136358551,"sku":"9783031598524","price":3809.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783031598524.webp?v=1769969019","url":"https:\/\/atlanticbooks.com\/products\/an-introduction-to-c-algebras-and-noncommutative-geometry-9783031598524","provider":"Atlantic Books","version":"1.0","type":"link"}