On Nica-Pimsner Algebras of C*-Dynamical Systems Over $\mathbb{Z}_+^n$
On Nica-Pimsner Algebras of C*-Dynamical Systems Over $\mathbb{Z}_+^n$
We examine Nica-Pimsner algebras associated with semigroup actions of |$\mathbb{Z}_+^n$| on a C*-algebra |$A$| by |$*$|-endomorphisms. We give necessary and sufficient conditions on the dynamics for exactness and nuclearity of the Nica-Pimsner algebras. Furthermore, we parameterize the KMS states at finite temperature by the tracial states on |$A$|. A parametrization …