Closed Convex Hulls of Unitary Orbits in Certain Simple Real Rank Zero C*-algebras

Ng P. W.; Skoufranis P.

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Closed Convex Hulls of Unitary Orbits in Certain Simple Real Rank Zero C*-algebras

机译：在某些简单的实际等级零C * -algebras的封闭凸孔

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摘要

In this paper, we characterize the closures of convex hulls of unitary orbits of self-adjoint operators in unital, separable, simple 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.

机译：在本文中，我们刻画了具有非平凡轨迹单纯形、实秩0、稳定秩1的酉、可分、简单C*-代数中自伴算子的酉轨道的凸壳的闭包，以及关于轨迹状态的投影的严格比较。此外，还得到了逼近自伴随所需的凸组合中酉共轭数的上界。

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来源
《Canadian Journal of Mathematics》 |2017年第5期|共34页
作者
Ng P. W.; Skoufranis P.;
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作者单位

Univ Louisiana Lafayette Dept Math Lafayette LA 70504 USA;

York Univ Dept Math &

Stat Toronto ON M3J 1P3 Canada;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
convex hull of unitary orbits; real rank zero C*-algebras simple; eigenvalue function; majorization;

机译：单一轨道的凸壳;真正等级零C * -algebras简单;特征值函数;大多数;

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Closed Convex Hulls of Unitary Orbits in Certain Simple Real Rank Zero C*-algebras

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