Abstract
We introduce the tensor category structure of endomorphisms of infinite (type III) von Neumann factors. We review the basic concepts of conjugate homomorphisms between a pair of infinite factors, including the dimension, and discuss the generalization to homomorphisms of a factor into a von Neumann algebra with a centre.
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Bischoff, M., Kawahigashi, Y., Longo, R., Rehren, KH. (2015). Homomorphisms of von Neumann Algebras. In: Tensor Categories and Endomorphisms of von Neumann Algebras. SpringerBriefs in Mathematical Physics, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-319-14301-9_2
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DOI: https://doi.org/10.1007/978-3-319-14301-9_2
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