Invertibility preserving mappings onto finite $C^*$-algebras

DOI10.4064/sm230101-27-3arXiv2301.00208OpenAlexW4378650808MaRDI QIDQ6063944

Martin Mathieu, F. Schulz

Publication date: 8 November 2023

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.00208

zbMATH Keywords

\(C^*\)-algebrasJordan homomorphismstracial statesinvertibility preserving mappings

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) States of selfadjoint operator algebras (46L30) Jordan structures on Banach spaces and algebras (17C65)

Cites Work

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• A primer on spectral theory
• A spectral characterization of isomorphisms on \(C^\star\)-algebras
• Über den numerischen Wertebereich eines Operators
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• A COLLECTION OF PROBLEMS ON SPECTRALLY BOUNDED OPERATORS
• Spectrally bounded traces on C*-algebras
• Shorter Notes: Trace and the Convex Hull of the Spectrum in a Von Neumann Algebra of Finite Class
• Characterizing Jordan homomorphisms