Classical Crossed Products

Lars Tuset
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Lars Tuset: Oslo Metropolitan University, Department of Computer Science

Chapter Chapter 14 in Analysis and Quantum Groups, 2022, pp 419-435 from Springer

Abstract: Abstract Since in the remaining part of this text we will study various crossed products associated to quantum groups, it makes sense to begin with a small chapter on crossed products of C∗-dynamical systems of locally compact groups. Such systems are defined just as von Neumann dynamical systems except for the fact that we consider continuity with respect to norm. A crossed product is then a certain C∗-algebra describing the dynamical system. This interplay between dynamical systems and C∗-algebras is useful for studying such systems by C∗-algebra techniques, and conversely, in constructing new C∗-algebras from old ones by introducing such systems.

Date: 2022
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DOI: 10.1007/978-3-031-07246-8_14

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