We study conditions on automorphisms of Boolean algebras of the form (where λ is an uncountable cardinal and is the ideal of sets of cardinality less than κ ) which allow one to conclude that a given automorphism is trivial. We show (among other things) that every automorphism of which is trivial on all sets of cardinality κ⁺ is trivial, and that implies both that every automorphism of (ℝ)/Fin is trivial on a cocountable set and that every automorphism of (ℝ)/Ctble is trivial.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm129-12-2015,
author = {Paul Larson and Paul McKenney},
title = {Automorphisms of $(l)/I\_{k}$
},
journal = {Fundamenta Mathematicae},
volume = {233},
year = {2016},
pages = {271-291},
zbl = {06575012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm129-12-2015}
}
Paul Larson; Paul McKenney. Automorphisms of $(λ)/ℐ_{κ}$
. Fundamenta Mathematicae, Tome 233 (2016) pp. 271-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm129-12-2015/