Normal states are determined by their facial distances

Lau, ATM; Ng, CK; Wong, NC

Ng, CK (corresponding author), Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China.; Ng, CK (corresponding author), Nankai Univ, LPMC, Tianjin 300071, Peoples R China.

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020; 52 (3): 505

Abstract

Let M be a semi-finite von Neumann algebra with normal state space S(M). For any phi is an element of S(M), let M phi:={x is an element of M:x phi=phi......

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