Title:  Cantor Dynamical Systems, Bratteli Diagrams, and Their Associated Full GroupsAbstract:  If a countable group  G  acts on a Cantor set  X, one can enlarge  G  to a (still countable) group  F(G)  by adding homeomorphisms of  X  that act locally as elements of  G. This group, known as the full group of the dynamical system  […]

Title:  A Comparison of Two Supercharacter TheoriesAbstract:  In 2008, P. Diaconis and I.M. Isaacs introduced a generalization of classical character theory, which they called supercharacter theory.  Let X be a partitioning of the irreducible characters of a finite group G such that the trivial character is in its own block of this partition.  Let Y […]