Interpolated free group factors.
Interpolated free group factors.
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插值的自由组因子。
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
K. Dykema
中科院分区：
文献类型：
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作者：
K. Dykema
定义了内插自由群因子L(F_r), 1 < r <= inty，并证明了它们关于投影压缩和取自由积的性质。因此，所有的自由群因子都是同构的，或者它们都不是同构的。F. Radulescu分别定义了这些因子并证明了它们的性质，本文给出的性质是等价的，只是使用了不同的技术。具体地说，我们发展了代数技术，使我们能够证明R*R = L(F_2)，其中R是超有限的II_1因子。
The interpolated free group factors L(F_r), 1 < r <= infty, are defined and proofs of their properties with respect to compression by projections and taking free products are proved. Hence it follows that all the free group factor are isomorphic to each other or none of them are. These factors were defined and these properties were proved independently by F. Radulescu, and those given in this paper are equivalent, but use different techniques. Specifically, we develop algebraic techniques that allow us to show that R*R = L(F_2), where R is the hyperfinite II_1 factor.