  Using our earlier proposal for Ramond-Ramond fields in an H-flux on loop
space, we extend the Hori isomorphism of Bouwknegt-Evslin-Mathai from invariant
differential forms, to invariant exotic differential forms such that the
momentum and winding numbers are exchanged, filling in a gap in the literature.
We also extend the compatibility of the action of invariant exact Courant
algebroids on the T-duality isomorphism of Cavalcanti-Gualtieri, to the
T-duality isomorphism on exotic invariant differential forms.
