  We present more planar algebraic construction of subfactors than those of
Guionet-Jones-Shlyakhtenko-Walker and Kodiyalam-Sunder which start from a
subfactor planar algebra and give in a direct way a subfactor of the same
standard invariant with the planar algebra. Our construction is based on using
the ordinary concepts in planar algebras such as involution, inclusion and
conditional expectation mappings as it is
