TY - JOUR
ID - 770
TI - Existence of ground states for approximately inner two--parameter $C_0$--groups on $C^*$--algebras
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Abazari, R.
AU - Niknam, A.
AD - Department of
Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Y1 - 2016
PY - 2016
VL - 42
IS - 2
SP - 435
EP - 446
KW - Two--parameter group
KW - Approximately inner dynamical system
KW - Tensor product
KW - Ground state
DO -
N2 - In this paper, we generalize the definitions of approximately inner $C_0$-groups and their ground states to the two- parameter case and study necessary and sufficient conditions for a state to be ground state. Also we prove that any approximately inner two- parameter $C_0$--group must have at least one ground state. Finally some applications are given.
UR - http://bims.iranjournals.ir/article_770.html
L1 - http://bims.iranjournals.ir/article_770_d466d7717510eb9caf6af9b237000141.pdf
ER -