Workshop on C*-Algebras and their Classification

近年来，核C*-代数的结构理论取得了巨大的进展。最值得注意的是，在C*-代数的拓扑正则性和代数正则性之间发现了紧密联系。这些结果激发了新的和非常广泛的分类定理，特别令人满意的应用于变换群C*-代数。它们还打开了与其他领域的联系，如图代数或粗糙几何；这些联系有待进一步探索。该地区非常生动，反映了大量同步的最近和即将举行的活动（在奥伯沃尔法赫，班夫，多伦多，哥本哈根，姆斯特，巴塞罗那，帕洛阿尔托，仅举几例）。它对早期的职业研究人员特别有吸引力，因为这个理论发展得很好，但非常活跃，有许多有趣而又容易理解的开放性问题（即使在研究生水平）。到目前为止，在这一发展过程中，英国的代表性不足。LMS将在2010年的米德兰兹地区会议上讨论C*代数；随后将举行为期四天的研讨会。LMS会议旨在向更广泛的数学公众推动C*代数的一些重要的新发展；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。我们计划在这些活动中强调核C*-代数的结构理论和分类，特别关注诸如动力系统或图代数的应用。

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.