Document Type
Article
Abstract
Our objective in this note is to outline a number of results concerning the Kasparov groups Ext(A,B) which are analogous to known information about the Brown, Douglass, and Fillmore (BDF) theory regarding groups which classify extensions of the form 0 → B ⊗ K → E → A → 0. These results enable one to compute the groups with relatively mild restrictions on the C*-algebras A and B. This in turn should make it possible to analyze the way in which a wide variety of C*-algebra extensions are put together, at least stably.
Disciplines
Algebra
Recommended Citation
J. Rosenberg and C. Schochet, The classification of extensions of C*-algebras, Bulletin of the American Mathematical Society 4(1) (1981), 105-110.
Comments
First published in the Bulletin of the American Mathematical Society 4(1) (1981, http://dx.doi.org/10.1090/S0273-0979-1981-14873-4), published by the American Mathematical Society.