谄媚于性 发表于 2025-3-25 07:09:29

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WAX 发表于 2025-3-25 09:23:21

Maturing the Snowflake Data Cloudor the usual Fredholm index, which can be extracted from the Λ-Fredholm index by the formula . where .: Λ → ℂ is the “forgetful” homomorphism associated with the trivial representation of Г in ℂ (see Proposition 5.2).

GET 发表于 2025-3-25 13:55:01

https://doi.org/10.1007/978-3-0348-8816-5y , where one considers the index of local elliptic operators over .*-algebras and whose ideology we follow to a large extent here, the main role in the structure and the proof of such index formulas is played by the Künneth formula describing the .-group of tensor products of .*-algebras. To en

allude 发表于 2025-3-25 18:49:46

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convulsion 发表于 2025-3-25 23:07:16

Vladimir E. Nazaikinskii,Anton Yu. Savin,Boris Yu.First and so far the only book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators.Provides important results, wh

巫婆 发表于 2025-3-26 02:58:59

Operator Theory: Advances and Applicationshttp://image.papertrans.cn/e/image/307808.jpg

朴素 发表于 2025-3-26 06:25:37

https://doi.org/10.1007/978-3-642-60546-8We start the study of homotopy invariants of nonlocal elliptic operators by constructing some . homotopy invariants.

任命 发表于 2025-3-26 09:33:03

https://doi.org/10.1007/978-3-642-59446-5Let . : . ⊂ . be a .-embedding of .-manifolds. In this section, we construct the direct image mapping . and prove that it preserves the Λ-index.

Catheter 发表于 2025-3-26 14:33:40

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无节奏 发表于 2025-3-26 16:52:42

,Quantenmechanik und Daseinsrelativität,Let . be a nonlocal elliptic operator with shifts generating the group Г. Suppose that . is a projection; i.e., . Let us define its index . with values in the odd .-group of the group .*-algebra Λ = .*(Г). This can be done, for example, as follows.
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查看完整版本: Titlebook: Elliptic Theory and Noncommutative Geometry; Nonlocal Elliptic Op Vladimir E. Nazaikinskii,Anton Yu. Savin,Boris Yu. Book 2008 Birkhäuser B