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
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