Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 1, pp. 67-86
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N. I. Nessonov. KMS-states on group $GL(\infty)$ and admissible representations $GL(\infty)^X$. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 1, pp. 67-86. http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a3/
@article{JMAG_2004_11_1_a3,
author = {N. I. Nessonov},
title = {KMS-states on group $GL(\infty)$ and admissible representations $GL(\infty)^X$},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {67--86},
year = {2004},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a3/}
}
TY - JOUR
AU - N. I. Nessonov
TI - KMS-states on group $GL(\infty)$ and admissible representations $GL(\infty)^X$
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2004
SP - 67
EP - 86
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a3/
LA - ru
ID - JMAG_2004_11_1_a3
ER -
%0 Journal Article
%A N. I. Nessonov
%T KMS-states on group $GL(\infty)$ and admissible representations $GL(\infty)^X$
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2004
%P 67-86
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a3/
%G ru
%F JMAG_2004_11_1_a3
The paper is the third and the last part of the work in which the complete description of factor-representations of group $GL(\infty)$, which are defined by unitary invariant positive-definite functions, is obtained. The necessary and sufficient conditions for KMS-states on $GL(\infty)$ group to turn the corresponding spherical representation of group $GL(\infty)\times GL(\infty)$ to standart one are given.
