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The algebraic structure of crossed products [electronic resource] / Gregory Karpilovsky.

By: Karpilovsky, Gregory, 1940-Material type: TextTextSeries: North-Holland mathematics studies ; 142. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 118.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987. Description: 1 online resource (x, 348 p.) : illISBN: 9780444702395; 0444702393Subject(s): Von Neumann algebras -- Crossed products | Von Neumann, Alg�ebres de -- Produits crois�es | Algebra Associativa | Von Neumann algebras -- Crossed productsGenre/Form: Electronic books.Additional physical formats: Print version:: Algebraic structure of crossed products.DDC classification: 510 | 512/.55 LOC classification: QA1 | .N86 no. 118ebQA326 | .K37 1987ebOnline resources: ScienceDirect | Volltext Summary: In the past 15 years, the theory of crossed products has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings. The purpose of this monograph is to give, in a self-contained manner, an up-to-date account of various aspects of this development, in an effort to convey a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate course, thus familiarity with basic ring-theoretic and group-theoretic concepts and an understanding of elementary properties of modules, tensor products and fields. A chapter on algebraic preliminaries is included, which briefly surveys topics required later in the book.
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In the past 15 years, the theory of crossed products has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings. The purpose of this monograph is to give, in a self-contained manner, an up-to-date account of various aspects of this development, in an effort to convey a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate course, thus familiarity with basic ring-theoretic and group-theoretic concepts and an understanding of elementary properties of modules, tensor products and fields. A chapter on algebraic preliminaries is included, which briefly surveys topics required later in the book.

Includes bibliographical references (p. 331-338) and index.

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