The Dwelling of the Spectral Action
| Autor: | Michał Eckstein, Bruno Iochum |
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| Rok vydání: | 2018 |
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| Zdroj: | Spectral Action in Noncommutative Geometry ISBN: 9783319947877 |
| DOI: | 10.1007/978-3-319-94788-4_1 |
| Popis: | The natural habitat of the spectral action is Connes’ noncommutative geometry. Therefore, it is indispensable to lay out its rudiments encoded in the notion of a spectral triple. We will, however, exclusively focus on the aspects of the structure, which are relevant for the spectral action computations. These include i.a. the abstract pseudodifferential calculus, the dimension spectrum and noncommutative integrals, based on both the Wodzicki residue and the Dixmier trace. |
| Databáze: | OpenAIRE |
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