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Titlebook: Analysis and Quantum Groups; Lars Tuset Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer

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Types of von Neumann Algebras,d, then given by comparing representatives, and it is a partial semigroup under addition of representatives whenever these are mutually orthogonal. The partial order on .(.) becomes a total order when . is a factor.
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Textbook 2022of natural products such as cocycle bicrossed products, quantum doubles and doublecrossed products. Induced corepresentations, Galois objects and deformations of coactions by cocycles are also treated. Each section is followed by a generous supply of exercises. To complete the book, an appendix is p
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Operators on Hilbert Spaces,roducts. The fundamental example of a Hilbert space is the .-space of the circle. A function, or vector, here can be thought of as a light signal, which through its Fourier series, is decomposed into orthogonal directions, each corresponding to a specific color identified with a certain frequency.
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Spectral Theory, series that converges absolutely on a disc with radius larger than ∥.∥. Replacing the variable in the power series by . we evidently get a convergent series in the Banach algebra .(. ) producing an operator denoted .(.). The map .↦.(.) is called the holomorphic functional calculus at .. This way co
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