Quasi-diagonality and approximate innerness of flows on C*-algebras

冯·诺依曼成功地将算符理论置于量子力学的基础希尔伯特空间中。他后来发展了理论的运营商环（或代数），可能被认为是一个基础的量子力学的无限自由度，如量子场论，但他从来没有完成该项目被分心的其他呼吁。在第二次世界大战结束时，奈马克和西格尔发起了C*-代数理论，并声称这是我们作为无限自由度量子物理框架所追求的方案。这个项目是建立在这一要求，并调查流动的C*-代数出现的时间发展。我们建立了物理模型中应该出现的近似内流和准对角流的许多性质，其中包括前者，看起来更容易处理。

von Neumann successfully placed the theory of operators on Hilbert space in the foundation of quantum mechanics. He later developed the theory of operator rings (or algebras), probably thought of as a foundation of quantum mechanics of infinite degree of freedom such as quantum field theory, but he never completed that project by being distracted by other callings. Around the ending of WWII Gel'fand, Naimark and Segal initiated the theory of C*-algebras and asserted it was the scheme we were after as a framework of quantum physics of infinite degrees of freedom. This project was built up on this claim and was to investigate flows on C*-algebras as appearing as time-developments. We established many properties of approximately inner flows which were supposed to appear in physical models, and quas-diagonal flows, which include the formers and look more amenable.