C*-algebras of algebraic dynamical systems
Nadia Larsen (University of Oslo)
Tuesday 27th October, 2015 16:00-17:00 Maths 522
A left cancellative semigroup S in which any two principal
ideals are either disjoint or intersect in another principal right ideal
is called a right LCM semigroup. These are sometimes called semigroups with
Clifford's condition, cf. Lawson or Norling. This class of
semigroups includes the quasi-lattice ordered pairs of Nica but also
semigroups with non-trivial group of units. The associated
semigroup C*-algebra in Li's sense has many attractive features.
An algebraic dynamical system is built from an action of a right LCM semigroup by injective endomorphisms of a group. The talk will describe C*-algebras arising from an algebraic dynamical system and some of their structural properties. This is joint work with Nathan Brownlowe and Nicolai Stammeier.