We generalize results of Davie and Raeburn describing homotopy types of the group of invertible elements and of the set of idempotents of the projective tensor product of complex unital Banach algebras. We illustrate our results by specific examples.2010 Mathematics Subject Classification. Primary 46H05. Secondary 46J10. Key words and phrases. Banach algebra, maximal ideal space, tensor product, left invertible element, idempotent, homotopy equivalence.Research is supported in part by NSERC.