Workshop on C*-Algebras and their Classification

核C ~*-代数的结构理论在最近几年取得了巨大的进展。最值得注意的是，紧密联系已被发现之间的拓扑和代数正则性性质的C*-代数。这些结果激发了新的和非常广泛的分类定理，特别是令人满意的应用到变换群C*-代数。他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。该领域非常生动，这反映在大量同步的最近和即将发生的事件（在Oberwolfach，Banff，多伦多，哥本哈根，明斯特，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，因为该理论发展良好，但非常活跃，有许多开放的问题，这些问题很有趣，但也很容易理解（即使在研究生阶段）。到目前为止，英国在这一发展中的代表性不足。LMS将致力于他们的2010年米德兰地区会议C*-代数;这将是一个为期四天的研讨会。LMS会议旨在向更广泛的数学公众促进C*-代数的一些重要新发展;我们将在研讨会期间更详细地探索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，特别注意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.