Crossed products of Hubert pro-𝐶-bimodules and associated pro-𝐶-algebras

Crossed products of Hubert pro-𝐶-bimodules and associated pro-𝐶-algebras

An action (γ,α) of a locally compact group 𝐺 on a Hubert pro-𝐶*-bimodule (𝑋,𝐴) induces an action γ × α of 𝐺 on A×x ℤ the crossed product of 𝐴 by 𝑋. We show that if (γ,α) is an inverse limit action, then the crossed product of 𝐴×α 𝐺 by 𝑋×γ 𝐺 respectively of 𝐴×α,r 𝐺 by 𝑋×γ,r 𝐺 is isomorphic to the ful...

Full description

Saved in:
Bibliographic Details
Published in:Carpathian Journal of Mathematics Vol. 32; no. 2; pp. 195 - 201
Main Authors: Joiţa, Maria, Munteanu, Radu-B.
Format: Journal Article
Language:English
Published: SINUS Association 01-01-2016
Subjects:
Algebra
Automorphisms
Inner products
Morphisms
Tensors
Topological spaces
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:An action (γ,α) of a locally compact group 𝐺 on a Hubert pro-𝐶*-bimodule (𝑋,𝐴) induces an action γ × α of 𝐺 on A×x ℤ the crossed product of 𝐴 by 𝑋. We show that if (γ,α) is an inverse limit action, then the crossed product of 𝐴×α 𝐺 by 𝑋×γ 𝐺 respectively of 𝐴×α,r 𝐺 by 𝑋×γ,r 𝐺 is isomorphic to the full crossed product o f 𝐴×x ℤ by γ × α respectively the reduced crossed product of 𝐴×x ℤ by γ × α.
ISSN:1584-2851
1843-4401