The Demolished Man by Alfred Bester

From Goodreads:

"One of the all-time classics of science fiction." - Isaac Asimov

"A masterful compounding of science and detective fiction."
- The Magazine of Fantasy & Science Fiction

"A magnificent novel... as fascinating a study of character as I have ever read." - Groff Conklin in Galaxy Science fiction

In a world policed by telepaths, Ben Reich plans to commit a crime that hasn't been heard of in 70 years: murder. That's the only option left for Reich, whose company is losing a 10-year death struggle with rival D'Courtney Enterprises. Terrorized in his dreams by The Man With No Face & driven to the edge after D'Courtney refuses a merger offer, Reich murders his rival & bribes a high-ranking telepath to help him cover his tracks. But while police prefect Lincoln Powell knows Reich is guilty, his telepath's knowledge is a far cry from admissible evidence.

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Wikipedia's page on The Demolished Man

SPOILERS AHEAD

Gotta love sci-fi, yeah!?!? Let's do a mind meld instead of talking about this one! :D