| 书目名称 | Tomita-Takesaki Theory in Algebras of Unbounded Operators |
| 编辑 | Atsushi Inoue |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics. |
| 出版日期 | Book 1998 |
| 关键词 | Algebra; O*-algebras; Tomita-Takesaki theory; generalized von Neumann algebras; mathematical physics; mod |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0093329 |
| isbn_softcover | 978-3-540-65194-9 |
| isbn_ebook | 978-3-540-49495-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1998 |
发表于 2025-3-21 18:17:10
