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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The Grand Earthly: Wells and Self-Image, ., i.e., linear functionals taking positive values at self-adjoint elements of . with positive spectrum. For example, the the energy states of the Hamiltonian are the vector states corresponding to the eigenfunctions of the Hamiltonian ..

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Textbook 2024lear 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

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https://doi.org/10.1007/978-1-349-08655-9ture. For example, the C*-algebra . for a compact smooth manifold . contains the dense and holomorphically closed subalgebra ., and the geometry of . leads to many interesting functionals on ., like . where . is a closed curve in .. Such . defines a . 1.: a continuous linear functional ..

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Textbook 2024lent 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

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An Introduction to C*-Algebras,ed his new mathematics “matrix mechanics,” but the existence of the noncommutative algebra of matrices had already been noted by Jordan. Von Neumann made numerous striking discoveries later about various classes of algebras of operators on a Hilbert space. The abstract characterization of C*-algebra