Rémi Boutonnet, Daniel Drimbe, Adrian Ioana, Sorin Popa
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引用次数: 0
摘要
我们证明，如果 A 是一个不可分离的非等边三叉冯-纽曼代数，那么当 2≤n<∞ 时，它的自由幂 A∗n,2≤n≤∞，是互不同构的，并且具有微不足道的基群，即 \(\mathcal{F}(A^{*n})=1\)。这就解决了自由基因数问题的不可分版本。
Non-isomorphism of A∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A
We prove that if A is a non-separable abelian tracial von Neuman algebra then its free powers A∗n,2≤n≤∞, are mutually non-isomorphic and with trivial fundamental group, \(\mathcal{F}(A^{*n})=1\), whenever 2≤n<∞. This settles the non-separable version of the free group factor problem.
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