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Partial Dynamical Systems, Fell Bundles and Applications (Mathematical Surveys and Monographs) by Ruy Exel is a nonfiction available to read on EtoBox.

What is Partial Dynamical Systems, Fell Bundles and Applications (Mathematical Surveys and Monographs) about?

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

Who reads Partial Dynamical Systems, Fell Bundles and Applications (Mathematical Surveys and Monographs)?

Author

Ruy Exel

Publisher

American Mathematical Society

Published

2017

Language

EN

ISBN

9781470437855

Category

nonfiction

Subjects

Mathematics, Stem