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The 32-year-old international has signed a two-year deal at Ibrox after deciding to leave Sunderland.
The Irishman rejoins the Pittodrie club after three seasons at Celtic.
The pay-outs come after a donation totalling more than £3m from benefactor James Anderson.
Scotland midfielder Scott McTominay has signed a five-year-deal with Manchester United.
Celtic goalkeeper Craig Gordon said he would be open to playing for Hearts in the Championship.
Three-time grand-slam champion will play his first match in seven months at the National Tennis Centre in London.
41-year-old will work under Neil Lennon and John Kennedy after leaving his role at Peterborough United.
Robbie Neilson's arrival signals the end of Daniel Stendel's tenure as manager.
SPFL says intention is for clubs who are unable to participate in Betfred Cup to receive a 'solidarity payment' instead.
Third-tier sides warned they could be placed in League Two for season 2021/22 if they opt to 'hibernate'.
The 27-year-old hooker joined the club from Edinburgh Rugby in January 2018 and has made 46 appearances.
Neilson has agreed terms and will replace Daniel Stendel at the helm.
Neilson was head coach at Hearts between 2014 and 2016.
Ibrox club added they believe some fans may be allowed in the stadium in late August.
Celtic will embark on their quest for a 10th consecutive Premiership title when the season begins.
The Pittodrie club opened talks with players and other staff last week over making wage cuts and other savings.
The midfielder and his team-mates returned to training at Lennoxtown earlier this week.
Hearts and Partick Thistle went to the Court of Session after their relegations were confirmed on Monday.
Fir Park players following social-distancing rules as they get back to business.
Neil Lennon is hopeful Celtic will have Southampton loan duo Fraser Forster and Mohamed Elyounoussi in their bid for ten-in-a-row.
