Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 925-930
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G. G. Amosov. An approximation modulo $s_2$ of isometrical operators and cocycle conjugacy of endomorphisms of the CAR algebra. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 925-930. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a20/
@article{FPM_2001_7_3_a20,
author = {G. G. Amosov},
title = {An~approximation modulo~$s_2$ of isometrical operators and cocycle conjugacy of endomorphisms of {the~CAR} algebra},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {925--930},
year = {2001},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a20/}
}
TY - JOUR
AU - G. G. Amosov
TI - An approximation modulo $s_2$ of isometrical operators and cocycle conjugacy of endomorphisms of the CAR algebra
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 925
EP - 930
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a20/
LA - ru
ID - FPM_2001_7_3_a20
ER -
%0 Journal Article
%A G. G. Amosov
%T An approximation modulo $s_2$ of isometrical operators and cocycle conjugacy of endomorphisms of the CAR algebra
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 925-930
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a20/
%G ru
%F FPM_2001_7_3_a20
We investigate the possibility of approximation modulo $s_2$ of isometrical operators in Hilbert space. Further we give the criterion of innerness of quasifree automorphisms of hyperfinfite factors $\mathcal M$ of type $\mathrm{II}_1$ and type $\mathrm{III}_{\lambda }$ generated by the representations of the algebra of canonical anticommutation relations (CAR). The results are used to describe cocycle conjugacy classes of quasifree shifts on hyperfinite factors of $\mathcal M$.
