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|DAN KUCERVOSKY, Fields Institute, Toronto, Ontario, Canada|
|An abstract Brown-Douglas-Fillmore absorption theorem, I|
A common generalization is given of all previous absorption theorems for -algebra extensions. We consider extensions of a stable, nuclear, separable -algebra by an arbitrary separable -algebra, and in this setting, we give a simple intrinsic criterion for an extension to be absorbing. The criterion involves only the -algebra of the extension, together with the canonical closed two-sided ideal. This is joint work with George Elliott.