Partial Dynamical Systems Fell Bundles and Applications is popular PDF and ePub book, written by Ruy Exel in 2017-09-20, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Partial Dynamical Systems Fell Bundles and Applications can be Read Online from any device for your convenience.
Partial Dynamical Systems Fell Bundles and Applications Book PDF Summary
Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*-contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence of a grading. While the usual theory of graded algebras often requires gradings to be saturated, the theory of partial dynamical systems is especially well suited to treat nonsaturated graded algebras which are in fact the source of the notion of “partiality”. One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product. Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth. In addition to presenting main theoretical results, several specific examples are analyzed, including Wiener–Hopf algebras and graph C*-algebras.
Detail Book of Partial Dynamical Systems Fell Bundles and Applications PDF
- Author : Ruy Exel
- Release : 20 September 2017
- Publisher : American Mathematical Soc.
- ISBN : 9781470437855
- Genre : Mathematics
- Total Page : 330 pages
- Language : English
- PDF File Size : 7,8 Mb
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