和睦相处的希格森日冕团体

arXiv - MATH - Operator Algebras Pub Date : 2024-08-06 DOI:arxiv-2408.02997

Alexander Engel

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引用次数: 0

摘要

我们研究了可作用于其希格森冕的群组（也称为双作用群组），并结合稳定希格森冕、交叉积的核性和正型核对此进行了重新阐述。我们进一步研究了这一点与鲍姆-康恩猜想（Baum-Connes conjecture）之间的关系，并证明了格罗莫夫双曲群的格罗莫夫边界和稳定希格森冕具有同构向量 K 理论。

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Groups acting amenably on their Higson corona

We investigate groups that act amenably on their Higson corona (also known as bi-exact groups) and we provide reformulations of this in relation to the stable Higson corona, nuclearity of crossed products and to positive type kernels. We further investigate implications of this in relation to the Baum-Connes conjecture, and prove that Gromov hyperbolic groups have isomorphic equivariant K-theories of their Gromov boundary and their stable Higson corona.

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arXiv - MATH - Operator Algebras

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