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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Digital VLSI Design with VerilogThe classical notion of twisted actions of groups on algebras can be rephrased as so called cocycle coactions of locally compact quantum groups on von Neumann algebras generalizing both twisted actions and coactions.

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Introduction,Quantum groups disclosed themselves to us as holders of .-matrices via quantum inverse scattering methods.

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Banach Spaces,This chapter deals with what could be called geometric functional analysis. Results from plane geometry are generalized to infinite dimensional vector spaces, including function spaces, yielding powerful, general results with a wide range of applications from within optimization theory to physics.

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Tensor Products,Tensor products is the study of multilinear maps by linear maps, meaning that the multilinear maps from a space factor uniquely through a linear map defined on another vector space called the tensor product of the vector spaces occurring as direct products in the domain of the multilinear maps.

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Spectra and Type , Factors,In this section we study some useful invariants especially of type . von Neumann algebras bringing our classification program to a certain level of completion. From the outset these invariants are associated with dynamical systems.

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Quantum Groups and Duality,The basic notion in this chapter and the second half of the book, is that of a locally compact quantum group

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