{"product_id":"an-introduction-to-c-algebras-and-noncommutative-geometry-9783031598524","title":"An Introduction to C*-Algebras and Noncommutative Geometry","description":"\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. 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.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783031598524\u003c\/p\u003e","brand":"Heath Emerson","offers":[{"title":"Paperback","offer_id":50078069129466,"sku":"9783031598524","price":41.29,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/9783031598524.jpg?v=1786813080","url":"https:\/\/shulphink.com\/products\/an-introduction-to-c-algebras-and-noncommutative-geometry-9783031598524","provider":"Shulph Ink","version":"1.0","type":"link"}