Coactions on C∗ -Algebras and Universal Properties

Erik Bédos; S. Kaliszewski; John Quigg; Jonathan Turk

doi:10.1007/s10485-023-09741-0

Coactions on C^∗ -Algebras and Universal Properties

Erik Bédos, S. Kaliszewski, John Quigg, Jonathan Turk

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

Abstract

It is well-known that the maximalization of a coaction of a locally compact group on a C*-algebra enjoys a universal property. We show how this important property can be deduced from a categorical framework by exploiting certain properties of the maximalization functor for coactions. We also provide a dual proof for the universal property of normalization of coactions.

Original language	English (US)
Article number	36
Journal	Applied Categorical Structures
Volume	31
Issue number	5
DOIs	https://doi.org/10.1007/s10485-023-09741-0
State	Published - Oct 2023

Keywords

Action
Coaction
Maximalization
Universal property

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science
Algebra and Number Theory

Access to Document

10.1007/s10485-023-09741-0

Cite this

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