Conceptually, I would like to accomplish the following but have had trouble understand how to code it properly in C#:
SomeMethod { // Member of AClass{}
The BackgroundWorker class was added to .NET 2.0 for this exact purpose.
In a nutshell you do:
BackgroundWorker worker = new BackgroundWorker();
worker.DoWork += delegate { myBClass.DoHardWork(); }
worker.RunWorkerCompleted += new RunWorkerCompletedEventHandler(SomeOtherMethod);
worker.RunWorkerAsync();
You can also add fancy stuff like cancellation and progress reporting if you want :)