Nowhere trivial automorphisms of $P(\lambda )/[\lambda {]}^{<\lambda }$, for $\lambda$ inaccessible

Abstract

If $\lambda$ is (strongly) inaccessible and $2^{\lambda }={\lambda }^{+}$, then there is a nowhere trivial automorphism of the Boolean algebra $\mathcal{P}(\lambda )/[\lambda {]}^{<\lambda }$.