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Isomorphic classification of the tensor products $E ₀ (e x p α i) \otimes ̂ E_{\infty} (e x p β j)$

Peter Chalov; Vyacheslav Zakharyuta — 2011

Studia Mathematica

It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces $E ₀ (e x p α i) \otimes ̂ E_{\infty} (e x p β j)$ and $E ₀ (e x p α ̃ i) \otimes ̂ E_{\infty} (e x p β ̃ j)$ . This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].

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Isomorphic classification of the tensor products E ₀ ( e x p α i ) ⊗ ̂ E ∞ ( e x p β j )

Isomorphic classification of the tensor products $E ₀ (e x p α i) \otimes ̂ E_{\infty} (e x p β j)$