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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K-Theory for C*-Algebras,enerated projective (f.g.p.) modules over ., and this suggests a definition of .-theory of C*-algebras or indeed of any ring. At the latter level of generality the resulting theory is called . K-theory, while when specialized to C*-algebras it is often called . K-theory. Operator K-theory retains th

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K-Homology and Noncommutative Geometry,(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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