TY - JOUR
T1 - Generalized q-gaussian von Neumann algebras with coefficients I
T2 - Relative strong solidity
AU - Junge, Marius
AU - Udrea, Bogdan
N1 - Publisher Copyright:
© 2019 Mathematical Sciences Publishers.
PY - 2019
Y1 - 2019
N2 - We define Γq(B, S ⊗ H/, the generalized q-gaussian von Neumann algebras associated to a sequence of symmetric independent copies (πj, B, A,D) and to a subset 1 ∈ S = S* ⊂ A and, under certain assumptions, prove their strong solidity relative to B. We provide many examples of strongly solid generalized q-gaussian von Neumann algebras. We also obtain nonisomorphism and nonembedability results about some of these von Neumann algebras.
AB - We define Γq(B, S ⊗ H/, the generalized q-gaussian von Neumann algebras associated to a sequence of symmetric independent copies (πj, B, A,D) and to a subset 1 ∈ S = S* ⊂ A and, under certain assumptions, prove their strong solidity relative to B. We provide many examples of strongly solid generalized q-gaussian von Neumann algebras. We also obtain nonisomorphism and nonembedability results about some of these von Neumann algebras.
KW - Q-gaussian von Neumann algebras with coefficients
KW - Relative strong solidity
KW - Von Neumann algebras
UR - http://www.scopus.com/inward/record.url?scp=85069863650&partnerID=8YFLogxK
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U2 - 10.2140/apde.2019.12.1397
DO - 10.2140/apde.2019.12.1397
M3 - Article
AN - SCOPUS:85069863650
SN - 2157-5045
VL - 12
SP - 1397
EP - 1463
JO - Analysis and PDE
JF - Analysis and PDE
IS - 7
ER -