Workshop on C*-Algebras and their Classification

C*-代数及其分类研讨会

• 批准号: EP/I00792X/1
• 负责人: Joachim Zacharias
• 金额: $ 1.46万
• 依托单位: University of Nottingham
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2010
• 资助国家: 英国
• 起止时间: 2010 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FI00792X%2F1
• 关键词: Workshop; Algebras; their; Classification

The structure theory of nuclear C*-algebras has seen dramatic advances in recent years. Most notably, tight links have been discovered between topological and algebraic regularity properties of C*-algebras. These results have spurred new and very broad classification theorems, with particularly satisfying applications to transformation group C*-algebras. They have also opened connections to other areas such as graph algebras or coarse geometry; these connections are waiting to be further explored.The area is extremely vivid, as reflected by the large number of well-synced recent and upcoming events (in Oberwolfach, Banff, Toronto, Copenhagen, Mnster, Barcelona, Palo Alto, to name but a few). It is particularly attractive for early career researchers, as the theory is well-developed yet highly active, with many open questions which are interesting yet accessible (even at postgraduate level). So far the UK has been somewhat underrepresented in this development. The LMS will devote their 2010 Midlands regional meeting to C*-algebras; this will be followed by a four day workshop. The LMS meeting aims to spur some important new developments in C*-algebras to a wider mathematical public; we will explore these results and potential further developments in more detail during the workshop. We plan to emphasize the structure theory and classification of nuclear C*-algebras during these events, with particular attention paid to applications such as dynamical systems or graph algebras.

近年来，核C~*-代数的结构理论取得了很大的进展。最值得注意的是，C*-代数的拓扑正则性和代数正则性之间存在着紧密的联系。这些结果得到了新的和非常广泛的分类定理，特别令人满意地应用于变换群C*-代数。他们还开辟了与其他领域的联系，如图代数或粗略几何；这些联系有待进一步探索。这一领域非常生动，从大量同步良好的近期和即将举行的活动(在奥伯沃尔法赫、班夫、多伦多、哥本哈根、门斯特、巴塞罗那、帕洛阿尔托等地仅举几例)中可见一斑。它对早期职业研究人员特别有吸引力，因为该理论发展良好，但非常活跃，有许多开放的问题，这些问题既有趣又容易理解(即使是在研究生水平上)。到目前为止，英国在这一发展中的代表性有所不足。LMS将在2010年的米德兰兹地区会议上专门讨论C*-代数；随后将举行为期四天的研讨会。LMS会议旨在推动C*-代数的一些重要的新发展向更广泛的数学公众；我们将在研讨会期间更详细地探讨这些结果和潜在的进一步发展。我们计划在这些事件中强调核C*-代数的结构理论和分类，并特别关注诸如动力系统或图代数之类的应用。