We prove that the statement `For all Borel ideals I and J on $��$, every isomorphism between Boolean algebras $P(��)/I$ and $P(��)/J$ has a continuous representation' is relatively consistent with ZFC. In this model every isomorphism between $P(��)/I$ and any other quotient $P(��)/J$ over a Borel ideal is trivial for a number of Borel ideals I on $��$. We can also assure that the dominating number is equal to $\aleph_1$ and that $2^{\aleph_1}>2^{\aleph_0}$. Therefore the Calkin algebra has outer automorphisms while all automorphisms of $P(��)/Fin$ are trivial. Proofs rely on delicate analysis of names for reals in a countable support iteration of suslin proper forcings.

Thoroughly revised version