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The Spectrum of a Derivation of a C * ‐Algebra
Author(s) -
Akemann Charles A.,
Ostrand Phillip A.
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-13.3.525
Subject(s) - spectrum (functional analysis) , automorphism , algebra over a field , mathematics , representation (politics) , operator (biology) , pure mathematics , operator algebra , physics , chemistry , quantum mechanics , biochemistry , repressor , politics , political science , transcription factor , law , gene
This paper considers a *‐derivation δ of a C * ‐algebra u and shows that its spectrum (as an operator on u ) is completely determined by the spectra of the operators a n which generate δ in each factor representation π of u . Several applications to derivations and automorphisms are given.