An article on China Tibet Online this week that was widely carried by other state media said there was nothing wrong with Beijing singer and actress Wang Fei, Hong Kong actor Tony Leung and Beijing actor Hu Jun worshipping Buddhism and attending religious activities.
But it said "meddling with the 'Tibetan-independence' clique leaders has gone far beyond the realm of 'freedom of religious belief.'"
The phrase is a reference to the government-in-exile and the Dalai Lama, the Tibetan Buddhists' spiritual leader whom Beijing accuses of campaigning to split Tibet from the rest of China.
Karma Namgyal, secretary of the Karmapa's office, said the presence of the three along with one of the ministers of the Central Tibetan Administration and speaker of the Tibetan parliament-in-exile was "coincidental."
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He said the celebrities were in Bodh Gaya, a temple- dotted town where tradition has it that the Buddha reached enlightenment, to attend an annual weeklong prayer festival for world peace. They arrived a few days early, so attended the commemoration event as well, sitting on the side with all the laypeople, said Karma Namgyal.
The state media commentary Wednesday said it would be "a pity if they lose their good reputations earned by hard work over so many years" by getting acquainted with people "on the wrong side of the state's major principle of right and wrong."
Representatives of Hu, Leung and Wang, known as Faye Wong in the West, did not respond to requests for comment.
Hu Jun said on his Twitter-like Sina Weibo account Thursday that he had gone to India to attend a prayer meeting with his family. "I was totally unaware of the presence of the so-called head of a separatist group as mentioned in some reports. I do not know any separatist and I solemnly declare that, as a Chinese, I oppose any words and acts that divide the country!!!"