Advanced Studies in Pure Mathematics

Semiprojectivity in Simple $\mathrm{C}^*$-Algebras

Bruce Blackadar

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Abstract

We show that certain purely infinite simple $\mathrm{C}^*$-algebras, including the Cuntz algebra $O_{\infty}$, are semiprojective. Some related results and conjectures are discussed, and some crossed product examples constructed.

Article information

Source
Operator Algebras and Applications, H. Kosaki, ed. (Tokyo: Mathematical Society of Japan, 2004), 1-17

Dates
First available in Project Euclid: 1 January 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546368823

Digital Object Identifier
doi:10.2969/aspm/03810001

Mathematical Reviews number (MathSciNet)
MR2059799

Zentralblatt MATH identifier
1065.46032

Subjects
Primary: 46L05: General theory of $C^*$-algebras
Secondary: 19A10

Citation

Blackadar, Bruce. Semiprojectivity in Simple $\mathrm{C}^*$-Algebras. Operator Algebras and Applications, 1--17, Mathematical Society of Japan, Tokyo, Japan, 2004. doi:10.2969/aspm/03810001. https://projecteuclid.org/euclid.aspm/1546368823


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