Crossed products of operator spaces

2015/12/24 by Massoud Amini, Amini, Massoud, Siegfried Echterhoff +3
Mathematics · #46L07 #47L65 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1512.07776

openalex publication_date 2015/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V be an operator space and \iso(V) be the group of all completely isometric bijective linear mappings on V. Let G act on V via a strongly continuous group homomorphism α:G → \iso (V). We define the full (and reduced) operator space crossed product V\rtimes^\op_α,(r)G and show that for a C^*-algebra with its canonical operator space structure, it coincides with the corresponding C^*-algebra crossed product. Unfortunately, the proof of Theorem 4.3 of the paper contains a serious gap, which leads to the withdrawal of the paper.

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