Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 4 (2018), 514-524.
Operator approximate biprojectivity of locally compact quantum groups
We initiate a study of operator approximate biprojectivity for quantum group algebra , where is a locally compact quantum group. We show that if is operator approximately biprojective, then is compact. We prove that if is a compact quantum group and is a non-Kac-type compact quantum group such that both and are operator approximately biprojective, then is operator approximately biprojective, but not operator biprojective.
Ann. Funct. Anal., Volume 9, Number 4 (2018), 514-524.
Received: 17 June 2017
Accepted: 20 November 2017
First available in Project Euclid: 4 May 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46L89: Other "noncommutative" mathematics based on C-algebra theory [See also 58B32, 58B34, 58J22]
Secondary: 46M10: Projective and injective objects [See also 46A22] 46L07: Operator spaces and completely bounded maps [See also 47L25]
Ghanei, Mohammad Reza; Nemati, Mehdi. Operator approximate biprojectivity of locally compact quantum groups. Ann. Funct. Anal. 9 (2018), no. 4, 514--524. doi:10.1215/20088752-2017-0065. https://projecteuclid.org/euclid.afa/1525420815