Year: 2006
Type: preprint
Abstract: Let 1 \le p < q \le 2 and let M be any von Neumann algebra. We use recent techniques from free harmonic analysis to construct a completely isomorphic embedding of Lq(M) (equipped with its natural operator space structure) into Lp(A) for some sufficiently large von Neumann algebra A. We show that hyperfiniteness and the QWEP are preserved in our construction.
Source: arXiv (Cornell University)
Authors: Junge, Marius, Parcet, Javier
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1647533384