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

Bhishan Jacelon; Karen R. Strung; Andrew S. Toms

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

Operator Algebras 2015-09-14 v2

Authors: Bhishan Jacelon , Karen R. Strung , Andrew S. Toms

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.

Keywords

C*-algebras Z-stability unitary orbits self-adjoint operators stable rank spectral data connected spectrum

Cite

@article{arxiv.1502.05272,
  title  = {Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras},
  author = {Bhishan Jacelon and Karen R. Strung and Andrew S. Toms},
  journal= {arXiv preprint arXiv:1502.05272},
  year   = {2015}
}

Comments

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

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

Abstract

Keywords

Cite

Comments

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