Arya (for a girl) and Aryan (for a boy) are very common names in India. It comes from the Indo-Persian word Arya meaning Noble. Aryan being somebody that follows Arya Dharma ie the noble way of life. Nazis took up some dodgy research and misconstrued the word to indicate white, blue eyed, blonde race. And introduced the racial construction. Just as they took over the Hindu swastika, turned it around and appropriated it.
Hindus would not give up something that has cultural significance just because a monster chose to use it. Kids in India are still named Aryan (shahrukh khan's son for eg) and we will use the Hindu swastika.
However, it's in the child's interest to consider how the name is perceived and whether it can be mispronounced easily or used to tease the kid with. Dixit is a very common surname in India, but it was only here that I sensed how a child with that surname could get teased by other kids.