The Algebraic Structure Of Crossed Products (notas De Matematica, 118)
by Gregory Karpilovsky /
1987 / English / PDF
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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.
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.
