Abstract
The crossed-product construction was first employed by Murray and von Neumann to exhibit examples of factors of types I, II and III. The set-up is as follows: one starts with a dynamical system (M,G,α) -- with G not necessarily abelian -- and constructs an associated von Neumann algebra M (usually denoted by M ⊗α G) on a larger Hilbert space H.
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© 1987 Springer-Verlag New York Inc.
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Sunder, V.S. (1987). Crossed-Products. In: An Invitation to von Neumann Algebras. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8669-8_5
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DOI: https://doi.org/10.1007/978-1-4613-8669-8_5
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