"The Last Testament of Lucky Luciano" was a fraud. It has been thoroughly investigated and debunked. The FBI came to that conclusion, then New York Times reporter Nicholas Gage, and many others. The most thorough examination was in Informer magazine:

http://gangstersinc.ning.com/profiles/blogs/april-issue-of-informer-journal-available-now

http://www.scribd.com/doc/90408801/2012-02-Informer-Apr-2012

And there's absolutely no evidence to connect Luciano to Thelma Todd in any way. None. I have contemporary newspaper accounts and her inquest record and his name never came up once. That was something that was made up many years later in the book "Hot Toddy."