Knot reversal acts non-trivially on the concordance group of topologically slice knots

We construct an infinite family of topologically slice knots that are not smoothly concordant to their reverses. More precisely, if 𝒯 denotes the concordance group of topologically slice knots and ρ is the involution of 𝒯 induced by string reversal, then 𝒯/ Fix(ρ ) contains an infinitely generated free subgroup. The result remains true modulo the subgroup of 𝒯 generated by knots with trivial Alexander polynomial.