Adjoint entropy vs Topological entropy

Article, Preprint English OPEN
GIORDANO BRUNO, Anna;
(2010)
  • Publisher: Elsevier BV
  • Journal: Topology and its Applications,volume 159,issue 9,pages2,404-2,419 (issn: 0166-8641)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.1016/j.topol.2011.07.032
  • Subject: Mathematics - General Topology | Geometry and Topology | algebraic entropy; adjoint entropy; topological entropy; Pontryagin duality; abelian groups. | Mathematics - Group Theory | 20K30, 28D20, 22D35
    arxiv: Mathematics::Spectral Theory

Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and studied. We generalize the notion of adjoint entropy to continuous endomorphisms of topological abelian groups. Indeed, the adjoint algebraic entropy is defined using the family... View more