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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https://doi.org/10.1057/9780230376670r Mat 39(4):796–838, 1975; Izv. Akad Nauk SSSR Ser Ma. 44(3):571–636, 719, 1980; Invent Math 91:147–201, 1988), motivated by ideas of Atiyah (J Math Oxford Ser 19:113–140, 1968), and was further developed by Connes and Skandalis (Publ Res Inst Math Sci 20(6):1139–1183, 1984), who introduced an axiom

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Wells as seen by his Publisher,s to state and prove the Toeplitz Index Theorem, a nice relationship between a certain analytic invariant of a non-vanishing continuous, complex-valued function on the circle, and the topology of the function (actually the winding number of the function ’around the origin.)

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青少年

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慢慢啃

https://doi.org/10.1007/978-1-349-08655-9The elliptic operator . acting on the circle . has a discrete spectrum of the integers. In particular, the dimensions of the kernels of the continuously varying family of operators ., for ., jump discontinuously as . crosses an integer point.

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Morita Equivalence,Modifying a C*-algebra . by replacing it with . or . or . has little impact on the structure theory of the C*-algebra. It therefore seems reasonable to consider a pair of C*-algebras . and . to be equivalent if . and . are isomorphic.

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