Compact actions and uniqueness of the group measure space decomposition of II1 factors

作者：Ioana Adrian^*

来源：Journal of Functional Analysis, 2012, 262(10): 4525-4533.

DOI：10.1016/j.jfa.2012.03.004

• II1 factor
• Group measure space construction
• Cartan subalgebra
• Compact action

preserving action of a countable group Gamma with positive first l(2)-Betti number, beta((2))(1) (Gamma) > 0, has a uniqueWe prove that any II1 factor L-infinity (X) x Gamma arising from a compact, free, ergodic, probability measure group measure space Cartan subalgebra, up to unitary conjugacy.

• 出版日期2012-5-15