"The CID is competent to investigate the incident and the government would take appropriate action once the probe report is submitted," he told reporters here.
The Anti-Naxal Force personnel allegedly had shot dead Kabeer at Tanikodu check-post on Sringeri-Karkala Road on April 19. The police, however, had clarified that the ANF officials mistook him for a Maoist.
The Karnataka Muslim Federation, led by Information Minister Roshan Baig and veteran Congress leader Janardhan Poojary have urged Siddaramaiah to hand over the investigation to CBI.
George said there is nothing wrong in Poojary demanding a CBI enquiry into the matter, but he could only decide after the submission of the preliminary report.
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"Moreover, I am only a recommending authority. The decision to hand over any case to the CBI rests on the Chief Minister," he contended.
On several occasions in the past the government has given some cases to CBI, George said.