Details

Autor(en) / Beteiligte

• Brownlowe, Nathan
• Larsen, Nadia S.
• Stammeier, Nicolai

Titel

C-Algebras of Algebraic Dynamical Systems and Right LCM Semigroups

Ist Teil von

• Indiana University mathematics journal, 2018-01, Vol.67 (6), p.2453-2486

Ort / Verlag

Department of Mathematics of Indiana University

Erscheinungsjahr

2018

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We introduce algebraic dynamical systems, which consist of an action of a right LCM semigroup by injective endomorphisms of a group. With each algebraic dynamical system we associate C*-algebra and describe it as a semigroup C*-algebra. As part of our analysis of these C*-algebras, we prove results for right LCM semigroups. More precisely, we discuss functoriality of the full semigroup C*-algebra and compute its K-theory for a large class of semigroups. We introduce the notion of a Nica-Toeplitz algebra of a product system over a right LCM semigroup, and show that it provides a useful alternative to study algebraic dynamical systems.