Pietari Kääpä, The Cinema of Mika Kaurismaki: Transvergent Cinescapes, Emergent Identities (Bristol: Intellect, 2011), p.80.
Mika Kaurismaki's film does indeed visit Los Angeles without a map, nor indeed does the film deploy maps of its other locations (Las Vegas and Bradford). All we have is a globe in the protagonist's room in Bradford, on which he looks at Los Angeles just before taking a flight there:
One further sequence shows the same room and globe, as he calls home from Los Angeles:
The sights of Los Angeles shown in the film are obvious ones, and can be visited by any cine-tourist with a good map. To visit the film's Bradford locations, follow a 'Movie Trail' on the 'Bradford City of Film' site:
See here for images of two of the film's Bradford locations, Undercliffe Cemetery and Little Germany.