An Extension Of Mackeys Method To Banach Algebraic Bundles
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Author | : James Michael Gardner Fell |
Publisher | : American Mathematical Soc. |
Total Pages | : 172 |
Release | : 1969 |
Genre | : Banach algebras |
ISBN | : 0821812904 |
The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir.
Author | : James M. Fell |
Publisher | : |
Total Pages | : 165 |
Release | : 1969 |
Genre | : |
ISBN | : 9780608096049 |
Author | : James Michael Gardiner Fell |
Publisher | : |
Total Pages | : 168 |
Release | : 1969 |
Genre | : Banach algebras |
ISBN | : |
Author | : J. M. Fell |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 168 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : 9780821812907 |
Author | : J. M.G. Fell |
Publisher | : Academic Press |
Total Pages | : 755 |
Release | : 1988-05-01 |
Genre | : Mathematics |
ISBN | : 0080874452 |
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
Author | : J. M. G. Fell |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540699775 |
Author | : Robert Doran |
Publisher | : CRC Press |
Total Pages | : 450 |
Release | : 1986-03-14 |
Genre | : Mathematics |
ISBN | : 9780824775698 |
This book gives an account of two celebrated theorems of Gelfand and Naimark for commutative C*-algebras, their tangled history, generalizations and applications, in a form accessible to mathematicians working in various applied fields, and also to students of pure and applied mathematics.
Author | : Bruce D. Evans |
Publisher | : American Mathematical Soc. |
Total Pages | : 74 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 0821822691 |
Author | : Ruy Exel |
Publisher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2017-09-20 |
Genre | : Mathematics |
ISBN | : 1470437856 |
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.
Author | : Bruce Blackadar |
Publisher | : Springer Science & Business Media |
Total Pages | : 530 |
Release | : 2006-03-09 |
Genre | : Mathematics |
ISBN | : 3540285172 |
This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.