Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 13, Number 3 (2019), 582-598.
Generalized quasidiagonality for extensions
We generalize the notion of quasidiagonality, for extensions, allowing for the case where the canonical ideal has few projections. We prove that the pointwise-norm limit of generalized quasidiagonal extensions is generalized quasidiagonal. We also provide a -theory sufficient condition for generalized quasidiagonality of certain extensions of simple continuous-scale -algebras, including certain continuous-scale hereditary -subalgebras of the stabilized Jiang–Su algebra.
Banach J. Math. Anal., Volume 13, Number 3 (2019), 582-598.
Received: 28 September 2018
Accepted: 3 January 2019
First available in Project Euclid: 25 May 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46L80: $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
Secondary: 47A10: Spectrum, resolvent 47A53: (Semi-) Fredholm operators; index theories [See also 58B15, 58J20]
Ng, P. W.; Robin, Tracy. Generalized quasidiagonality for extensions. Banach J. Math. Anal. 13 (2019), no. 3, 582--598. doi:10.1215/17358787-2019-0005. https://projecteuclid.org/euclid.bjma/1558749977