As more children were named among the 22 victims of the May 22 massacre, the suicide bomber's father and brother were arrested in Libya and British police arrested a seventh person in connection with the investigation.
Greater Manchester Police now believe Abedi's apartment in central Manchester is a "highly relevant" location in the investigation, and that the bomb may have been assembled there, the statement said.
"We will continue to honor the ones we lost, their loved ones, my fans, and all affected by this tragedy", she added.
"When that trust is breached it undermines these relationships and threatens our investigations and the confidence of victims, witnesses and their families".
The decision to stop sharing police information with USA agencies was an extraordinary step for Britain, which is usually at pains to emphasize its "special relationship" with the United States.
Abedi's family remained a focus, too, with a brother in England, his father and another brother in Libya among those detained.
On Thursday morning, the BBC reported that the Greater Manchester Police will no longer be sharing information on the bombing inquiry with their American counterparts.
Ramadan Abedi had earlier claimed his son Salman was innocent, saying: "We don't believe in killing innocents".
Purdue defends budget's food stamp cuts to angry Democrats
Mnuchin said his preference was for a "clean" debt ceiling increase that was free of any conditions. Mnuchin will testify before the House Ways and Means Committee Wednesday on the president's budget.
Eight men have been taken into custody in the United Kingdom, while the bomber's father and younger brother have been arrested in Libya, the latter of whom confessed to knowing "all the details" of the terror plot. British officials said Abedi had been on the radar of the intelligence community before the massacre.
New developments, unforeseen and unwelcome to the British government, have emerged in the wake of Monday's bombing in Manchester.
The attack on Monday night killed 22 people and injured 116. Queen Elizabeth II visited victims of the attack at Royal Manchester Children's Hospital, telling 14-year-old Evie Mills and her parents: "It's awful".
Britain raced yesterday to track down a jihadist network suspected of orchestrating the Manchester concert attack, as a row escalated between London and Washington over leaked material from the probe.
"It's awful. Very wicked, to target that sort of thing", the 91-year-old monarch told 14-year-old Evie Mills and her parents.
"Home Secretary says she's "confident" the leaks about Manchester attack to USA media will now end", BBC political correspondent Vicki Young said on Twitter, referring to the interior minister by the commonly used title in Britain.
British intelligence officials were also reported to be working with German authorities to find out who bomber Salman Abedi met and where he went after trips to Syria and Libya.
They recognised her because she had also been at the Make A Wish meet-and-greet before the gig with the popstar.