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On a Universal Borel Adic Space. / Vershik, A. M.; Zatitskii, P. B.
в: Journal of Mathematical Sciences (United States), Том 240, № 5, 07.08.2019, стр. 515-524.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On a Universal Borel Adic Space
AU - Vershik, A. M.
AU - Zatitskii, P. B.
N1 - Publisher Copyright: © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/8/7
Y1 - 2019/8/7
N2 - We prove that the so-called uniadic graph and its adic automorphism are Borel universal, i.e., every aperiodic Borel automorphism is isomorphic to the restriction of this automorphism to a subset invariant under the adic transformation, the isomorphism being defined on a universal (with respect to the measure) set. We develop the concept of basic filtrations and combinatorial definiteness of automorphisms suggested in our previous paper.
AB - We prove that the so-called uniadic graph and its adic automorphism are Borel universal, i.e., every aperiodic Borel automorphism is isomorphic to the restriction of this automorphism to a subset invariant under the adic transformation, the isomorphism being defined on a universal (with respect to the measure) set. We develop the concept of basic filtrations and combinatorial definiteness of automorphisms suggested in our previous paper.
UR - http://www.scopus.com/inward/record.url?scp=85068348744&partnerID=8YFLogxK
U2 - 10.1007/s10958-019-04369-9
DO - 10.1007/s10958-019-04369-9
M3 - Article
AN - SCOPUS:85068348744
VL - 240
SP - 515
EP - 524
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 88659554