Give permisson for users in other Domain to my profiles

   hi,

   I have a Sharepoint 2013 on domainA and Sharepoint 2010 on domainB. There is a full Forest trust between and  Sharepoint trust as well. 

I want to have all profiles on DomainA, I have taken a full replication using user profile replication(UPRE) so all profiles from DomainB excist on DomainA.

I want users on DomainB to be redirected to DomainA when looking or searching for people/profile.

Can I give domain users in DomainB read permission on user profiles in DomainA and permission to search in DomainA.

thanks.

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