Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Semicrossed products of operator algebras by semigroups / Kenneth R. Davidson, Adam H. Fuller and Evgenios T.A. Kakariadis.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 247, no 1168.Publication details: Providence : American Mathematical Society, 2017.Description: v, 97 pages ; 26 cmISBN:
  • 9781470423094 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Semicrossed products by abelian semigroups -- Chapter 4. Nica-covariant semicrosssed products -- Chapter 5. Semicrossed products by non-abelian semigroups.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 138210
Total holds: 0

Includes bibliographical references.

Chapter 1. Introduction --
Chapter 2. Preliminaries --
Chapter 3. Semicrossed products by abelian semigroups --
Chapter 4. Nica-covariant semicrosssed products --
Chapter 5. Semicrossed products by non-abelian semigroups.

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in