Existentially closed II₁ factors

Ilijas Farah, et al. "Existentially closed II₁ factors." Fundamenta Mathematicae 233.2 (2016): 173-196. <http://eudml.org/doc/281668>.

@article{IlijasFarah2016,
abstract = {We examine the properties of existentially closed ($ ^\{ω\}$-embeddable) II₁ factors. In particular, we use the fact that every automorphism of an existentially closed ($ ^\{ω\}$-embeddable) II₁ factor is approximately inner to prove that Th() is not model-complete. We also show that Th() is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonisomorphic existentially closed models of Th().},
author = {Ilijas Farah, Isaac Goldbring, Bradd Hart, David Sherman},
journal = {Fundamenta Mathematicae},
keywords = {existentially closed; II1factor; continuous model theory},
language = {eng},
number = {2},
pages = {173-196},
title = {Existentially closed II₁ factors},
url = {http://eudml.org/doc/281668},
volume = {233},
year = {2016},
}

TY - JOUR
AU - Ilijas Farah
AU - Isaac Goldbring
AU - Bradd Hart
AU - David Sherman
TI - Existentially closed II₁ factors
JO - Fundamenta Mathematicae
PY - 2016
VL - 233
IS - 2
SP - 173
EP - 196
AB - We examine the properties of existentially closed ($ ^{ω}$-embeddable) II₁ factors. In particular, we use the fact that every automorphism of an existentially closed ($ ^{ω}$-embeddable) II₁ factor is approximately inner to prove that Th() is not model-complete. We also show that Th() is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonisomorphic existentially closed models of Th().
LA - eng
KW - existentially closed; II1factor; continuous model theory
UR - http://eudml.org/doc/281668
ER -