Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions
Operator Algebras
2014-10-10 v1
Abstract
The paper presents a construction of the crossed product of a C*-algebra by a commutative semigroup of bounded positive linear maps generated by partial isometries. In particular, it generalizes Antonevich, Bakhtin, Lebedev's crossed product by an endomorphism, and is related to Exel's interactions. One of the main goals is the Isomorphism Theorem established in the case of actions by endomorphisms.
Keywords
Cite
@article{arxiv.math/0603202,
title = {Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions},
author = {B. K. Kwasniewski},
journal= {arXiv preprint arXiv:math/0603202},
year = {2014}
}
Comments
20 pages