Titlebook: Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid St; Hermann Schulz-Baldes,Tom Stoiber Bo

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Quantum Differentiation and Index Theorems,ors associated to a .-dynamical system are introduced and then the traceclass Peller criterion is proved. Combining an .-criterion with interpolation theory, Sect.?. then proves Peller criteria for higher Schatten classes.

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978-3-031-12203-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid St978-3-031-12201-9Series ISSN 0921-3767 Series E-ISSN 2352-3905

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Hermann Schulz-Baldes,Tom StoiberAn Agent-based Model (ABM) is a formal tool for scientific inquiry. When dealing with an unknown scientific method, several questions are worth asking: What is it? How to use it? And most important, is it useful?

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Duality for Toeplitz Extensions,Let . be a .-dynamical system, where . is a separable .-algebra and . or .. This section will relate . and . in an exact sequence of .-algebras and then show a duality for pairings of cyclic cocycles with . respectively ..