"The movement of India Against Corruption was launched by me to fight corruption," Hazare told reporters.
Kejriwal said he would not use the IAC's name in his fight against corruption.
"He (Anna) is my guru. I talk to him everyday. If he asks me to stop using the IAC's name I won't use it," said Kejriwal.
Former IAC member Kiran Bedi, who left the group with Hazare, said: "They (Arvind and his colleagues) moved out from IAC. They certainly must have a new name."
After splitting from Hazare, Kejriwal had announced he would float a political party.