I just found this older review of The Crimson Kimono posted to my Confessions of a Pop Fan blog in 2005. Follow this link and you'll also find a review of Samuel Fuller's Underworld U.S.A., a quick take on The Naked Kiss, and a bunch of broken images. (You can't have it all!)
The murder does get solved. The plot is tied around the participants in creating a geisha-themed stage act for Sugar Torch, which is where the titular crimson kimono comes from. The hunt for the killer culminates in a chase through a parade in Little Tokyo, and its resolution directly relates to Joe’s getting his head straight. Fuller is always fun. He’s not interested in subtlety. Even when Joe talks about the way his artist father delicately painted cobwebs, Fuller hits you over the head with the poetry. But that’s the point of his movies. The audience straps itself in and rides with him. Unfortunately, the print the NW Film Center acquired was of inconsistent quality, and it was often badly spliced--not a good thing when you consider that Fuller’s editing here was rivaling Seijun Suzuki for jump cutting. Still, nothing bad enough to really mar the experience.