Invariants of algebraic derivations and automorphisms in Banach algebras

Pao Kuei Liau, Cheng-Kai Liu

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

We prove that if a semisimple real or complex Banach algebra A possesses an algebraic derivation whose invariants are algebraic, then A is finite-dimensional. This result is a full generalization of a recent result by Haily, Kaidi and Palacios (2011) [15] for the case of inner derivations in complex semisimple Banach algebras. The analogous result for automorphism case is also obtained.

Original languageEnglish
Pages (from-to)313-323
Number of pages11
JournalJournal of Algebra
Volume403
DOIs
Publication statusPublished - 2014 Feb 1

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Banach algebra
Automorphisms
Semisimple
Invariant
Inner Derivation
Automorphism

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Liau, Pao Kuei ; Liu, Cheng-Kai. / Invariants of algebraic derivations and automorphisms in Banach algebras. In: Journal of Algebra. 2014 ; Vol. 403. pp. 313-323.
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Liau, PK & Liu, C-K 2014, 'Invariants of algebraic derivations and automorphisms in Banach algebras', Journal of Algebra, vol. 403, pp. 313-323. https://doi.org/10.1016/j.jalgebra.2013.10.035

Invariants of algebraic derivations and automorphisms in Banach algebras. / Liau, Pao Kuei; Liu, Cheng-Kai.

In: Journal of Algebra, Vol. 403, 01.02.2014, p. 313-323.

Research output: Contribution to journal › Article

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Liau PK, Liu C-K. Invariants of algebraic derivations and automorphisms in Banach algebras. Journal of Algebra. 2014 Feb 1;403:313-323. https://doi.org/10.1016/j.jalgebra.2013.10.035

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