Forking and stability in the representations of a C*-algebra

2012/11/30 by Argoty, Camilo
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1211.7155

Abstract

We show that the theory of a non-degenerate representation of a C*-algebra A over a Hilbert space H is superstable. Also, we characterize forking, orthogonality and domination of types and show that the theory has weak elimination of imaginaries.

Related

• Superstable theories and representation
• Stability of C^*-algebra associated with the twisted CCR
• Nonstable K-theory for Z-stable C*-algebras
• Destabilization
• K-stability of Z-stable C*-algebras