Michael Diamond, the Beastie Boys musician known as Mike D, announced a five-date United States run of shows. The brief East Coast tour will support his inaugural solo studio album, “Thank You,” which is scheduled for release on August 28. The upcoming concert sequence follows a recently completed, sold-out promotional tour across the United Kingdom and Europe earlier this month. The headlining performances are scheduled to begin on August 30 at the Royale in Boston, coming just two days after his album debuts. The upcoming live sets will center on material from “Thank You,” a 13-track collection of post-electronic rhythms and experimental arrangements.