On local representations of von Neumann algebras

Pop, Florin

doi:10.1090/S0002-9939-04-07585-9

On local representations of von Neumann algebras
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by Florin Pop PDF

Proc. Amer. Math. Soc. 132 (2004), 3569-3576 Request permission

Abstract:

We prove that every bounded, linear, 2-local Hilbert space representation of a von Neumann algebra is a representation. In contrast, 1-local representations may fail to be multiplicative, even at the 2 by 2 matrix algebra level.

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