Monotone complete C*-algebras and ge...
Saito, Kazuyuki.

 

  • Monotone complete C*-algebras and generic dynamics[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 512.556
    書名/作者: Monotone complete C*-algebras and generic dynamics/ by Kazuyuki Saito, J.D. Maitland Wright.
    作者: Saito, Kazuyuki.
    其他作者: Wright, J.D. Maitland.
    出版者: London : : Springer London :, 2015.
    面頁冊數: xi, 257 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: C*-algebras.
    標題: Monotone operators.
    標題: Mathematics.
    標題: Functional Analysis.
    標題: Order, Lattices, Ordered Algebraic Structures.
    標題: Associative Rings and Algebras.
    ISBN: 9781447167754
    ISBN: 9781447167730
    內容註: Introduction -- Order Fundamentals -- Classification and Invariants -- Commutative Algebras: Constructions and Classifications -- Convexity and Representations -- Generic Dynamics -- Constructing Monotone Complete C∗-algebras -- Envelopes, Completions and AW∗-algebras.
    摘要、提要註: This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras. Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions. Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false. Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.
    電子資源: http://dx.doi.org/10.1007/978-1-4471-6775-4
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