# Factor representation

From Encyclopedia of Mathematics

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: http://encyclopediaofmath.org/index.php?title=Factor_representation&oldid=14007

This article was adapted from an original article by A. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article