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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）』 ■ウィキペディアで「subfactor」の詳細全文を読む スポンサード リンク
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