Certain free products of operator spaces
type: Item
instance of: scholarly article
title: Certain free products of operator spaces
zbMATH Open document ID: 1133.46030
published in: Science in China. Series A
publication date: 2007-01-24T00:00:00Z
review text: The author introduces and studies various notions of free products of operator spaces, including a full and a reduced free product of operator spaces and a free product for ternary rings of operators. The constructions are based on the theories of free products of C*-algebras and von Neumann algebras. Among the established results is the fact that the predual of a reduced free product of two von Neumann algebras is the reduced free product of their preduals, as well as the fact that the free product of two one-dimensional operator spaces is not injective.
Mathematics Subject Classification ID: 46L09
Mathematics Subject Classification ID: 46L07
Mathematics Subject Classification ID: 47L25
zbMATH DE Number: 5118309
zbMATH Keywords: operator spaces
zbMATH Keywords: free products
zbMATH Keywords: operator algebras
author: Mingchu Gao
reviewed by: Ivan G. Todorov
MaRDI profile type: Publication
full work available at URL: s11425-006-0800-7
OpenAlex ID: W2227061213
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DOI: 10.1007/S11425-006-0800-7
description: scientific article; zbMATH DE number 5118309