New York Journal of Mathematics
Volume 28 (2022), 1295-1316


Dan Z. Kucerovsky

Separating points by inclusions of O

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Published: September 8, 2022.
Keywords: C*-algebra, separating points, Cuntz-Krieger property, corona.
Subject [2010]: Primary 46L05, secondary 46L35.

We define a basis property that an inclusion of C*-algebras O ⊂ A may have, and give various conditions for the property to hold. Some applications are considered. We also give a characterization of open projections in a corona algebra.


We thank Peter Evanchuck for taking a interest in this work. We thank Eberhard Kirchberg for a copy of his classic unpublished manuscript. We also thank NSERC (Canada) for financial support.

Author information

Dan Z. Kucerovsky:
Department of Mathematics
University of New Brunswick at Fredericton
Fredericton, NB E3B 5A3, Canada