Countable saturation of corona algebras

Details Countable saturation of corona algebras Countable saturation of corona algebras

2011-12-16

arxiv.org/abs/1112.3898v1

Mathematics

Operator Algebras

Scientific paper

We present unified proofs of several properties of the corona of $\sigma$-unital C*-algebras such as AA-CRISP, SAW*, being sub-$\sigma$-Stonean in the sense of Kirchberg, and the conclusion of Kasparov's Technical Theorem. Although our results were obtained by considering C*-algebras as models of the logic for metric structures, the reader is not required to have any knowledge of model theory of metric structures (or model theory, or logic in general). The proofs involve analysis of the extent of model-theoretic saturation of corona algebras.

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