Why do we spell it 'krolf' with a K in stead of 'crolf' with a C?

It's called croquet in English and 'kroket' in Danish, so it should have been crolf in English, but there's at least one other - and older - game in the USA also called crolf, and in the UK a guy has invented another crolf game - younger than ours - so to keep a little distance to those games, we call our game krolf with a K.