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

Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras
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简单 Z 稳定 C* 代数中自伴算子的酉轨道

DOI:
10.1016/j.jfa.2015.08.019
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发表时间:
2015
期刊:
arXiv: Operator Algebras
影响因子:
--
通讯作者:
Andrew S. Toms
Andrew S. Toms
中科院分区:
--
文献类型:
--
作者:
Bhishan Jacelon;Karen R. Strung;Andrew S. Toms

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证明了在一个简单的、酉的、精确的、Z-稳定的C-代数中,具有连通谱的自伴元的酉轨道之间的距离完全由谱数据决定。这在没有Z稳定性假设的情况下失败。
We prove that in a simple, unital, exact, Z-stable C⁎-algebra, 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.
DOI: 10.1007/s00222-015-0580-1
发表时间: 2014-03
影响因子: 3.1
作者:
Yasuhiko Sato;Stuart White;W. Winter
通讯作者: Yasuhiko Sato;Stuart White;W. Winter