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Titlebook: Elliptic Theory and Noncommutative Geometry; Nonlocal Elliptic Op Vladimir E. Nazaikinskii,Anton Yu. Savin,Boris Yu. Book 2008 Birkh?user B

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21#
發(fā)表于 2025-3-25 07:09:29 | 只看該作者
22#
發(fā)表于 2025-3-25 09:23:21 | 只看該作者
Maturing the Snowflake Data Cloudor the usual Fredholm index, which can be extracted from the Λ-Fredholm index by the formula . where .: Λ → ? is the “forgetful” homomorphism associated with the trivial representation of Г in ? (see Proposition 5.2).
23#
發(fā)表于 2025-3-25 13:55:01 | 只看該作者
https://doi.org/10.1007/978-3-0348-8816-5y [57], 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
24#
發(fā)表于 2025-3-25 18:49:46 | 只看該作者
25#
發(fā)表于 2025-3-25 23:07:16 | 只看該作者
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
26#
發(fā)表于 2025-3-26 02:58:59 | 只看該作者
Operator Theory: Advances and Applicationshttp://image.papertrans.cn/e/image/307808.jpg
27#
發(fā)表于 2025-3-26 06:25:37 | 只看該作者
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.
28#
發(fā)表于 2025-3-26 09:33:03 | 只看該作者
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.
29#
發(fā)表于 2025-3-26 14:33:40 | 只看該作者
30#
發(fā)表于 2025-3-26 16:52:42 | 只看該作者
,Quantenmechanik und Daseinsrelativit?t,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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