Mathematical Sciences: Endomorphisms of von Neumann Algebras

鲍尔斯教授和皮姆斯纳教授将研究该理论的各个方面 C*-代数和冯诺依曼代数。 鲍尔斯教授的研究 将涉及 *-自同态的连续单参数半群 代数和冯诺依曼代数，特别强调 Hilbert空间上所有有界算子的von Neumann代数 空间 Pimsner教授将研究算子的K-理论 代数，尤其是交叉积的群C*-代数 某些类别的群体。 一个C* 代数的概念是一个概念的抽象， 空间上的线性变换族。 这些变换 也可以被认为在空间的状态中有值， 这个家族的财产就是这个符号的来源 * 代数是由变换生成的， 都是真实的数。 这些物体 自然地出现在数学和物理的许多分支中， 重要的是要学习。

Professors Powers and Pimsner will study aspects of the theory of C*-algebras and von Neumann algebras. Professor Powers' work will concern continuous one parameter semigroups of *-endomorphisms of C*-algebras and von Neumann algebras with particular emphasis on the von Neumann algebra of all bounded operators on a Hilbert space. Professor Pimsner will study the K-theory of operator algebras, especially that of group C*-algebras of crossed products by certain classes of groups. The notion of a C* algebra is an abstraction of the idea of a family of linear transformations on a space. These transformations can also be thought of as having values in the states of the space, and the property of this family which is responsible for the symbol * is that the algebra is generated by transformations whose values in these states are real numbers. The fact that these objects appear naturally in many branches of mathematics and physics makes them important to study.