远足 发表于 2025-3-23 10:32:35

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

consolidate 发表于 2025-3-23 15:57:29

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epinephrine 发表于 2025-3-23 19:52:53

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.)

capsaicin 发表于 2025-3-24 00:30:59

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青少年 发表于 2025-3-24 04:42:26

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Hearten 发表于 2025-3-24 09:25:18

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慢慢啃 发表于 2025-3-24 14:03:47

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.

Mobile 发表于 2025-3-24 15:07:25

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mediocrity 发表于 2025-3-24 21:51:36

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.

Venules 发表于 2025-3-25 00:51:49

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查看完整版本: Titlebook: An Introduction to C*-Algebras and Noncommutative Geometry; Heath Emerson Textbook 2024 Springer Nature Switzerland AG 2024 C*-algebras.K-