In the 1959 case West v. United States, the Supreme Court dealt with issues of self-incrimination and immunity from prosecution. The petitioner, West, was a union official who had been convicted for making false statements to a grand jury about his knowledge of certain illegal activities within his union. He appealed on grounds that he should have been granted immunity under federal law because he had testified before a Senate committee investigating labor racketeering prior to appearing before the grand jury. The Supreme Court ruled against West in an 8-1 decision stating that testifying voluntarily before Congress did not grant him automatic immunity from later prosecution based on those same topics or facts disclosed during congressional testimony. The court held that such protection only applied if it was explicitly offered by Congress at the time of questioning and accepted by the witness; otherwise, witnesses were still liable for any crimes they admitted to while testifying.

In the dissenting opinion for West v. United States, Justice Brennan disagreed with the majority's decision to uphold West's conviction on charges of conspiracy and mail fraud. He argued that there was insufficient evidence to support a finding of guilt beyond reasonable doubt, particularly in relation to the charge of conspiracy. Furthermore, he contended that certain instructions given by the trial judge were misleading and prejudicial against West. Specifically, these instructions suggested that if jurors found any one defendant guilty they must find all defendants guilty - an assertion which contradicted established legal principles regarding individual culpability in criminal conspiracies. In addition, Justice Brennan expressed concern about potential violations of due process rights arising from improper jury instructions and inadequate defense representation during trial proceedings.