Isomorphic classification of the tensor products E(0)(exp alpha i) (circle times)over-cap E(infinity)(exp beta j)

Official URL: http://dx.doi.org/10.4064/sm204-3-6

It is proved, using so-called multirectangular invariants, that the condition alpha beta = (alpha) over tilde(beta) over tilde is sufficient for the isomorphism of the spaces E(0)(exp alpha i) (circle times) over cap E(infinity)(exp beta j) and E(0)(exp (alpha) over tildei) (circle times) over cap E(infinity)(exp (beta) over tildej). This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].