Kalton-Peck space is not isomorphic to its hyperplanes

A. Das, V. Ferenczi, Ch. Rosendal

Let $Z_2$ denote the real Kalton-Peck space. No hyperplane of $Z_2$ admits a complex structure, and $Z_2$ is even in the sense of Ferenczi-Galego. Therefore, $Z_2$ is not linearly…