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C*-algebras where every element is a limit of products of positive elements

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  11 August 2021

Leonel Robert
Leonel Robert*
Affiliation:
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA70506, USA
*
e-mail: lrobert@louisiana.edu
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Abstract

We obtain a characterization of the unital C*-algebras with the property that every element is a limit of products of positive elements, thereby answering a question of Murphy and Phillips.

Keywords

C*-algebraspositive elementsde la Harpe-Skandalis determinant

MSC classification

Primary: 46L05: General theory of $C^*$-algebras 46L80: $K$-theory and operator algebras (including cyclic theory)
Type
Article
Information
Canadian Mathematical Bulletin , Volume 65 , Issue 3 , September 2022 , pp. 628 - 632
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Copyright
© Canadian Mathematical Society 2021

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References

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