Crossed Product of a C*-Algebra by a Semigroup of Interactions

Crossed Product of a C*-Algebra by a Semigroup of Interactions

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....

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Bibliographic Details
Main Author: Kwaśniewski B. K.
Format: Article
Language:English
Published: De Gruyter 2014-06-01
Series:Demonstratio Mathematica
Subjects:
C*-algebra
interactions
partial isometry
crossed product
finely representable action
transfer operator
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0028/dema-2014-0028.xml?format=INT
Description
Summary: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.
ISSN:0420-1213
2391-4661

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