SELECT <...>
FROM A.table1 t1 JOIN B.table2 t2 ON t2.column2 = t1.column1;
Just make sure that in the SELECT line you specify which table columns you are using, either by full reference, or by alias. Any of the following will work:
SELECT *
SELECT t1.*,t2.column2
SELECT A.table1.column1, t2.*
etc.