Title of article
Compact actions and uniqueness of the group measure space decomposition of II1 factors
Author/Authors
Adrian Ioana، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
9
From page
4525
To page
4533
Abstract
We prove that any II1 factor L∞(X) Γ arising from a compact, free, ergodic, probability measure
preserving action of a countable group Γ with positive first 2-Betti number, β
(2)
1 (Γ ) > 0, has a unique
group measure space Cartan subalgebra, up to unitary conjugacy.
© 2012 Elsevier Inc. All rights reserved.
Keywords
II1 factor , Group measure space construction , Cartan subalgebra , Compact action
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840746
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