Factor representation

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A linear representation of a group or an algebra on a Hilbert space such that the von Neumann algebra on generated by the family is a factor. If this factor is of type (respectively, , , , etc.), then is called a factor representation of type , etc.

How to Cite This Entry:
Factor representation. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article