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- Title
On Nica-Pimsner Algebras of C*-Dynamical Systems Over ℤ<sup>n</sup><sup>+</sup>.
- Authors
Kakariadis, Evgenios T. A.
- Abstract
We examine Nica-Pimsner algebras associated with semigroup actions of ℤn+ 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 is also shown for KMS states at zero temperature (resp. ground states) by the tracial states on A (resp. states on A). Finally, we give a formula for obtaining tracial states on the Nica-Pimsner algebras.
- Subjects
SEMIGROUP algebras; ENDOMORPHISMS; NONSELFADJOINT operators; CROSSED products of algebras; ATTRACTORS (Mathematics)
- Publication
IMRN: International Mathematics Research Notices, 2017, Vol 2017, Issue 4, p1013
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnw050