发表机构
National and Kapodistrian University of Athens（雅典国立卡波季斯特里安大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究局部紧豪斯多夫群在离散群幺半子半群上非退化积系统的约化郝-吴同构问题，利用普兰切尔权重和约化余作用可积性，证明有肯定答案，确定诱导积系统恒等表示是福克协变的。
AI 中文摘要
我们证明，对于局部紧豪斯多夫群在离散群的幺半子半群上的非退化积系统的广义规范作用，约化郝-吴同构问题有肯定答案。在约化交叉积可能不存在忠实条件期望的情况下，我们利用普兰切尔权重和约化余作用的可积性。通过这种方法，我们确定了福克C*代数的约化交叉积内诱导积系统的恒等表示是福克协变的。
英文摘要
We prove that the reduced Hao-Ng isomorphism problem has an affirmative answer for every generalised gauge action of a locally compact Hausdorff group on a product system over a unital subsemigroup of a discrete group, without any assumptions on the product system or the subsemigroup. We show that the Fock C*-algebra of the induced product system is canonically isomorphic to the reduced crossed product of the Fock C*-algebra, by identifying the Fock space of the induced product system with the reduced crossed product of the Fock space. This also yields the corresponding completely isometric isomorphism for the tensor algebras. Using the representations of the fixed point algebra that detect Sehnem's strong covariance relations, we show that the canonical representation of the induced product system in the reduced crossed product of the reduced strong covariant C*-algebra is strong covariant.
Comments25 pages. v2: major revision, title changed. Non-degeneracy of the product system is no longer assumed. We use an identification of Fock spaces to obtain the canonical isomorphisms for the (reduced) operator algebras
