Parse please...
7d Brazenly false European cunning around the French (11) looks like shamelessly...
ham = false
E for European
le for the french
sly for cunning .. leaving SS in the middle ??
27a Part of France in atlas, new capital to the west (7) A?SAT??
6th letter possibly E
8a Finished structure erected in triumph (4) A??H arch? (as in arc de triomphe?)