Universal coefficient theorems for the stable Ext-groups

Let A be a unital separable nuclear C∗-algebra and let B be a stable C∗-algebra. Using K-theory and KK-theory we establish universal coefficient theorems for the stable Ext-groups of unital extensions of A by B when A and B have certain properties, which generalize a result of L. Brown and M. Dadarlat for the strong Ext-groups. The class of extensions being studied are also enlarged. © 2009 Elsevier Inc. All rights reserved.