Reduced free products of completely positive maps and entropy for free product of automorphisms
type: Item
instance of: scholarly article
title: Reduced free products of completely positive maps and entropy for free product of automorphisms
zbMATH Open document ID: 0857.46040
author: Marie Choda
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1996-09-18T00:00:00Z
review text: Summary: The reduced free product of unital completely positive maps is defined. An invariant state on a \(C^*\)-algebra for an automorphism (based on the free shift) is the composition of a state of a subalgebra with the reduced free product of expectations. Entropies for the reduced free product and the tensor product of an automorphism \(\gamma\) with the free shift coincide with the entropy of \(\gamma\).
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 46L40
zbMATH DE Number: 927852
zbMATH Keywords: reduced free product of unital completely positive maps
zbMATH Keywords: invariant state
zbMATH Keywords: \(C^*\)-algebra
zbMATH Keywords: automorphism
zbMATH Keywords: free shift
zbMATH Keywords: reduced free product of expectations
zbMATH Keywords: tensor product
zbMATH Keywords: entropy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195162968
OpenAlex ID: W2092401672
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DOI: 10.2977/PRIMS/1195162968
description: scientific article; zbMATH DE number 927852