Kruse remained active in the Left Wing movement inside the SPA until the fall of 1921, organizing the Committee for the Third International with his associates Louis Engdahl and Alexander Trachtenberg.
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The Labor Research Association (LRA) was established late in 1927 by International Publishers president Alexander Trachtenberg and several individuals formerly associated with the Socialist Party's Rand School of Social Science, including Scott Nearing, Solon DeLeon, and Robert W. Dunn, as well as the prominent radical intellectuals Anna Rochester and Grace Hutchins.
While a small and short-lived group, it nevertheless played an important role in the 1921 creation of the Workers Party of America, and included many individuals who would have prominent careers in radical and labor movements such as Moissaye Olgin, J. Louis Engdahl, Alexander Trachtenberg, William F. Kruse, and Melech Epstein.