1 results
Closed Convex Hulls of Unitary Orbits in Certain Simple Real Rank Zero C* -algebras
-
- Journal:
- Canadian Journal of Mathematics / Volume 69 / Issue 5 / 01 October 2017
- Published online by Cambridge University Press:
- 20 November 2018, pp. 1109-1142
- Print publication:
- 01 October 2017
-
- Article
-
- You have access
- Export citation
-
In this paper, we characterize the closures of convex hulls of unitary orbits of self-adjoint operators in unital, separable, simple
${{\text{C}}^{*}}$ -algebras with non-trivial tracial simplex, real rank zero, stable rank one, and strict comparison of projections with respect to tracial states. In addition, an upper bound for the number of unitary conjugates in a convex combination needed to approximate a self-adjoint are obtained.
