Titlebook: Introduction to ℓ²-invariants; Holger Kammeyer Book 2019 The Editor(s) (if applicable) and The Author(s), under exclusive license to Sprin

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Book 2019quired specialized concepts from scratch. It comes with numerous exercises and examples, so that both graduate students and researchers will find it useful for self-study or as a basis for an advanced lecture course..

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978-3-030-28296-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Introduction to ℓ²-invariants978-3-030-28297-4Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Introduction,We explain the idea behind ..-invariants, demonstrate how they have become useful in various geometric and algebraic areas, and give an overview of the contents that will be covered in the book.

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Hilbert Modules and von Neumann Dimension,Starting with the definition of Hilbert space, we give a condensed course on functional analysis, prove the von Neumann bicommutant theorem, and introduce group von Neumann algebras. We examine properties of the trace in group von Neumann algebras and conclude the dimension theory for Hilbert modules.

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Lecture Notes in Mathematicshttp://image.papertrans.cn/i/image/474444.jpg

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Methodology and Applications of Statisticsed dual-stream spatiotemporal convolution method based on Kinect to recognize human actions. Under the original dual-stream spatiotemporal convolution framework, the VGG-16 model is changed to the ResNet-50 model to convolve the bone data collected by Kinect, and then, the spatial and temporal data