A private equity fund backed by LVMH Group has made its first investment in India. L Capital Asia, which is also back by Groupe Arnault, has taken a 25.5 percent stake in Genesis Luxury Fashion, a high-end fashion distributor that handles such brands as Jimmy Choo, Canali, Paul Smith and Bottega Veneta in India. The infusion will help Genesis expand, and the ties to L Capital's global network and knowledge will give it a boost as well. L Capital Asia invests in consumer and lifestyle brands in fast-growing markets in South Asia.