A characterisation of central elements in C∗-algebras

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Wu ['An order characterization of commutativity for -algebras', Proc. Amer. Math. Soc. 129 (2001), 983-987] proved that if the exponential function on the set of all positive elements of a -algebra is monotone in the usual partial order, then the algebra in question is necessarily commutative. In this note, we present a local version of that result and obtain a characterisation of central elements in -algebras in terms of the order.

Original languageEnglish
Pages (from-to)138-143
Number of pages6
JournalBulletin of the Australian Mathematical Society
Volume95
Issue number1
DOIs
Publication statusPublished - Feb 1 2017

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Central Element
C*-algebra
Algebra
Commutativity
Partial Order
Monotone

Keywords

  • central element
  • C∗-algebra
  • exponential function
  • order

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A characterisation of central elements in C∗-algebras. / Molnár, L.

In: Bulletin of the Australian Mathematical Society, Vol. 95, No. 1, 01.02.2017, p. 138-143.

Research output: Contribution to journalArticle

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