Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/