On the standard K-loop structure of positive invertible elements in a C*-algebra

Roberto Beneduci, L. Molnár

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We investigate the algebraic properties of the operation a{ring operator}b=aba on the set of all positive invertible elements of a C*-algebra A. We show that its commutativity, associativity and distributivity are each equivalent to the commutativity of A. We present abstract characterizations of the operation {ring operator} and a few related ones, too.

Original languageEnglish
Pages (from-to)551-562
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume420
Issue number1
DOIs
Publication statusPublished - Dec 1 2014

Fingerprint

Commutativity
Invertible
Algebra
C*-algebra
Ring
Distributivity
Associativity
Operator
Standards

Keywords

  • K-loop
  • Loop

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the standard K-loop structure of positive invertible elements in a C*-algebra. / Beneduci, Roberto; Molnár, L.

In: Journal of Mathematical Analysis and Applications, Vol. 420, No. 1, 01.12.2014, p. 551-562.

Research output: Contribution to journalArticle

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