  The $\nu^+$-equivalence is an equivalence relation on the knot concordance
group. This relation can be seen as a certain stable equivalence on knot Floer
complexes $CFK^{\infty}$, and many concordance invariants derived from Heegaard
Floer theory are invariant under the equivalence. In this paper, we show that
any genus one knot is $\nu^+$-equivalent to one of the trefoil, its mirror and
the unknot.
