Anna Nagar all-women police station had arrested E Kebiaj, a karate and judo master on Monday based on a sexual harassment complaint from a 26-year-old woman.
Kebiraj, 40, had been running Hi-Impact Martial Arts School in Anna Nagar.
The case involves possible investigation into other districts and other states and it was advised that it could be handled by the CB-CID. So the probe into the case was handed over to the State CB-CID, sources said.
The suspect had allegedly harassed his victim during travel to other districts and sometimes other states. There may be more complaints against him, police noted.