Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras

Abstract

We prove that in a simple, unital, exact, Z-stable C*-algebra of stable rank one, the distance between the unitary orbits of self-adjoint elements with connected spectrum is completely determined by spectral data. This fails without the assumption of Z-stability.

10 pages, this version agrees with the one that will be published in the Journal of Functional Analysis

References in corpus (1)

• The kernel of the determinant map on pure C*-algebras

Cited by in corpus (2)

• The Dixmier property and tracial states for C*-algebras
• Closed Convex Hulls of Unitary Orbits in C${}^{\ast }$-Algebras of Real Rank Zero