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Subfactor : ウィキペディア英語版
Subfactor
In the theory of von Neumann algebras, a subfactor of a factor ''M'' is a subalgebra that is a factor and contains 1. The theory of subfactors led to the discovery of the
Jones polynomial in knot theory.
==Index of a subfactor==

Usually ''M'' is taken to be a factor of type II1, so that it has a finite trace.
In this case every Hilbert space module ''H'' has a dimension dimM(''H'') which is a non-negative real number or +∞.
The index () of a subfactor ''N'' is defined to be dimN(''L''2(M)). Here ''L''2(''M'') is the representation
of ''N'' obtained from the GNS construction of the trace of ''M''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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