Abelian $C^*$-algebras and Actions of Natural Numbers

Liming Ge  (University of New Hampshire)

9:35 am to 10:25 am, June 1st, 2015   Science Building A1414

Abstract:

Abelian $C^*$-algebras associated with arithmetic functions are studied. Operator algebras, topological dynamics and arithmetic functions are employed to study the maximal ideal spaces of the C*-algebras. An invariant is introduced to study the actions induced by the addition of natural numbers on the $C^*$-algebras. Some open questions will be asked.