Final answer:
New Amsterdam, founded by the Dutch and later settled by the Swedes, was captured by the English in 1664 and renamed New York after the Duke of York. This transition was formalized by the 1667 peace treaty following the Second Anglo-Dutch War.
Explanation :
Dutch and Swedish groups were among the early European settlers of what is now known as New York State. New Amsterdam was founded by the Dutch West India Company in 1624 at the southern tip of Manhattan Island. It became an important center for trade and commerce. In 1655, the Dutch expanded their territory by taking over New Sweden along the Delaware River.
In August 1664, English forces arrived and the Dutch, led by Peter Stuyvesant, surrendered New Amsterdam, primarily due to inadequate provisions and lack of will among its colonists to engage in battle. Following the surrender, the rights to property, religious freedom, and Dutch legal customs were maintained by the Dutch settlers.