Around 30,000 events have already been postponed as a result of the pandemic, and tickets to many of those were sold months ago. By some estimates, consumers have spent more than $1 billion on tickets to disrupted events.

Live Nation has not set any specific timing for refunds. But in a statement, the company said: “Live Nation’s plan is to continue offering an opportunity for refunds on all of its rescheduled shows as new dates are set. We anticipate those windows will begin to open up on an event by event basis in the next few weeks.”

The issue of ticket refunds during the coronavirus pandemic has crystallized many longstanding complaints about Live Nation and Ticketmaster, which merged in 2010. A 10-year consent decree, negotiated with the Justice Department to ensure that the combined company would not exert unfair influence over the concert business, was recently extended by five years after an inquiry by federal regulators.

In his letter to the New York attorney general, Letitia James, Mr. Skoufis urged her to look into what he said was a recent change of policy regarding refunds on concerts that have been postponed because of the crisis.

“I ask the Attorney General to intervene in any means necessary, including a criminal inquiry, and strongly urge these corporations to reconsider their newly adopted policies and refund consumers who are struggling to survive,” he wrote.

Mr. Skoufis also said that his committee had since January launched a broader investigation into practices in the ticketing industry. But he said that the cancellation of thousands of concerts since the virus struck had given new impetus to look at Ticketmaster’s practices on refunds.