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November 2018 Operator approximate biprojectivity of locally compact quantum groups
Mohammad Reza Ghanei, Mehdi Nemati
Ann. Funct. Anal. 9(4): 514-524 (November 2018). DOI: 10.1215/20088752-2017-0065

Abstract

We initiate a study of operator approximate biprojectivity for quantum group algebra L1(G), where G is a locally compact quantum group. We show that if L1(G) is operator approximately biprojective, then G is compact. We prove that if G is a compact quantum group and H is a non-Kac-type compact quantum group such that both L1(G) and L1(H) are operator approximately biprojective, then L1(G)ˆL1(H) is operator approximately biprojective, but not operator biprojective.

Citation

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Mohammad Reza Ghanei. Mehdi Nemati. "Operator approximate biprojectivity of locally compact quantum groups." Ann. Funct. Anal. 9 (4) 514 - 524, November 2018. https://doi.org/10.1215/20088752-2017-0065

Information

Received: 17 June 2017; Accepted: 20 November 2017; Published: November 2018
First available in Project Euclid: 4 May 2018

zbMATH: 07002088
MathSciNet: MR3871911
Digital Object Identifier: 10.1215/20088752-2017-0065

Subjects:
Primary: 46L89
Secondary: 46L07, 46M10

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 4 • November 2018
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