Extensions of stable -algebras
Mikael Røordam
Department of Mathematics University of Copenhagen Universitetsparken 5 2100 Copenhagen Ø Denmark
![Extensions of stable $C^*$-algebras cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-6.png&w=3840&q=90)
Abstract
We show that an extension of two stable -algebras need not be stable. More explicitly we find an extension
for some (infinite dimensional) compact Hausdorff space such that is not stable. The -algebra in our example has an approximate unit consisting of projections.
Cite this article
Mikael Røordam, Extensions of stable -algebras. Doc. Math. 6 (2001), pp. 241–246
DOI 10.4171/DM/103