Semicrossed products of operator algebras by semigroups
Author(s)
Bibliographic Information
Semicrossed products of operator algebras by semigroups
（Memoirs of the American Mathematical Society, no. 1168）
American Mathematical Society, c2016
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Note
Includes bibliographical references (p. 93-97)
"Volume 247, number 1168 (first of 7 numbers), May 2017"
Description and Table of Contents
Description
The authors examine the semicrossed products of a semigroup action by $*$-endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.
Table of Contents
Introduction
Preliminaries
Semicrossed products by abelian semigroups
Nica-covariant semicrosssed products
Semicrossed products by non-abelian semigroups
Bibliography.
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