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Erratum: The Jiang–Su Absorption for Inclusions of Unital C*-algebras

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  11 June 2020

Hiroyuki Osaka  and
Tamotsu Teruya
Hiroyuki Osaka
Affiliation:
Department of Mathematical Sciences, Ritsumeikan University, Kusatsu, Shiga, 525-8577, Japan Email: osaka@se.ritsumei.ac.jp
Tamotsu Teruya
Affiliation:
Faculty of Education, Gunma University, 4-2 Aramaki-machi, Maebashi City, Gunma, 371-8510, Japan Email: teruya@gunma-u.ac.jp
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Abstract

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We correct an error in the statement in a proposition and a theorem in Jiang–Su absorption for inclusions of unital C*-algebras. Canad. J. Math. 70(2018), 400–425. This error was found by Dr. M. Ali Asadi-Vasfi and communicated to the authors by N. Christopher Phillips of the University of Oregon, who also suggested the outline for the following correct proofs.

Keywords

Jiang–Su absorptioninclusion of C*-algebrasstrictly comparison

MSC classification

Primary: 46L55: Noncommutative dynamical systems
Secondary: 46L35: Classifications of $C^*$-algebras
Type
Erratum
Information
Canadian Journal of Mathematics , Volume 73 , Issue 1 , February 2021 , pp. 293 - 295
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Copyright
© Canadian Mathematical Society 2020

Footnotes

Research of the first author partially supported by the JSPS grant for Scientific Research No. 23540256.

References

Asadi-Vasfi, M. A., Golestani, N., and Phillips, N. C., The Cuntz semigroup and the radius of comparison of the crossed product by a finite group. arxiv:1908.06343Google Scholar
Cuntz, J., Dimension functions on simple C*-algebras. Math. Ann. 233(1978), 145–153. https://doi.org/10.1007/BF01421922CrossRefGoogle Scholar
Lee, H. H. and Osaka, H., Tracially sequentially-split*-homomorphisms between C*-algebras II. arxiv:1906.06950Google Scholar
Osaka, H. and Teruya, T., Jiang–Su absorption for inclusions of C*-algebras. Canad. J. Math. 70(2018), 400–425. https://doi.org/10.4153/CJM-2017-033-7CrossRefGoogle Scholar
Phillips, N. C., Large subalgebras. arxiv:1408.5546v1Google Scholar
Phillips, N. C., Private communication. 2019.Google Scholar
Rørdam, M., On the structure of simple C*-algebras tensored with a UHF-algebra II. J. Funct. Anal. 107(1992), 255–269. https://doi.org/10.1016/0022-1236(92)90106-SCrossRefGoogle Scholar
Rørdam, M., The stable and the real rank of 𝓩-absorbing C*-algebras. Inter. J. Math. 10(2004), 1065–1084. https://doi.org/10.1142/S0129167X04002661CrossRefGoogle Scholar
Rørdam, M. and Winter, W., The Jiang–Su algebra revisited. J. Reine Angew. Math. 642(2010), 129–155. https://doi.org/10.1515/CRELLE.2010.039Google Scholar