Correction to: The Fubini Product and Its Applications

The article The Fubini Product and Its Applications, written by Otgonbayar Uuye and Joachim Zacharias, was originally published electronically on the publisher’s internet portal on 11 February 2020 without open access. With the author(s).

The Fubini Product and Its Applications

The Fubini product of operator spaces provides a powerful tool for analysing properties of tensor products. In this paper, we apply the theory of Fubini products to the problem of computing invariant parts of dynamical systems. In particular, we study the invariant translation approximation property of discrete groups.

A remark on the slice map problem

It is shown that there exist aσ-weakly closed operator algebraA˜, generated by finite rank operators and aσ-weakly closed operator algebraB˜generated by compact operators such that the Fubini productA˜⊗¯FB˜contains properlyA˜⊗¯B˜.