Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras
classification
🧮 math.OA
keywords
orbitsself-adjointsimpleunitaryz-stablealgebraalgebrasassumption
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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.
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