Breaking points in centralizer lattices
Sign Up to like & getrecommendations! Published in 2018 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.06.006
Abstract: In this note, we prove that the centralizer lattice ${\mathfrak C}(G)$ of a group $G$ cannot be written as a union of two proper intervals. In particular, it follows that ${\mathfrak C}(G)$ has no breaking… read more here.
Keywords: centralizer lattices; centralizer; points centralizer; breaking points ... See more keywords
Centralizer and liftable centralizer of special flows over rotations
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aac6ab
Abstract: The liftable centralizer for special flows over irrational rotations is studied. It is shown that there are such flows under piecewise constant roof functions which are rigid and whose liftable centralizer is trivial. read more here.
Keywords: centralizer; special flows; centralizer liftable; flows rotations ... See more keywords