Structure of abelian parts of C∗-algebras and its preservers

Hamhalter, Jan: Structure of abelian parts of C∗-algebras and its preservers. Acta scientiarum mathematicarum, (84) 1-2. pp. 263-275. (2018)

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Abstract

The context poset of Abelian C -subalgebras of a given C -algebra is an operator theoretic invariant of growing interest. We review recent results describing order isomorphisms between context posets in terms of Jordan type maps (linear or not) between important types of operator algebras. We discuss the important role of the generalized Gleason theorem on linearity of maps preserving linear combinations of commuting elements for studying symmetries of context posets. Related results on maps multiplicative with respect to commuting elements are investigated.

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2018
Volume: 84
Number: 1-2
Page Range: pp. 263-275
ISSN: 0001-6969
Uncontrolled Keywords: Algebra
Additional Information: Bibliogr.: p. 274-275. ; Összefoglalás angol nyelven
Official URL: http://www.acta.hu
Date Deposited: 2018. Nov. 10. 10:38
Last Modified: 2019. Sep. 09. 13:44
URI: http://acta.bibl.u-szeged.hu/id/eprint/55814

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