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....

Full description

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
id doaj-fa9c5f81282448ecb7d82a2a32f8101d
record_format Article
spelling doaj-fa9c5f81282448ecb7d82a2a32f8101d2020-11-25T01:39:04ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-06-0147235037010.2478/dema-2014-0028dema-2014-0028Crossed Product of a C*-Algebra by a Semigroup of InteractionsKwaśniewski B. K.0INSTITUTE OF MATHEMATICS UNIVERSITY IN BIAŁYSTOK ul. Akademicka 2 PL-15-267 BIAŁYSTOK, POLANDThe 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.http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0028/dema-2014-0028.xml?format=INTC*-algebrainteractionspartial isometrycrossed productfinely representable actiontransfer operator
collection DOAJ
language English
format Article
sources DOAJ
author Kwaśniewski B. K.
spellingShingle Kwaśniewski B. K.
Crossed Product of a C*-Algebra by a Semigroup of Interactions
Demonstratio Mathematica
C*-algebra
interactions
partial isometry
crossed product
finely representable action
transfer operator
author_facet Kwaśniewski B. K.
author_sort Kwaśniewski B. K.
title Crossed Product of a C*-Algebra by a Semigroup of Interactions
title_short Crossed Product of a C*-Algebra by a Semigroup of Interactions
title_full Crossed Product of a C*-Algebra by a Semigroup of Interactions
title_fullStr Crossed Product of a C*-Algebra by a Semigroup of Interactions
title_full_unstemmed Crossed Product of a C*-Algebra by a Semigroup of Interactions
title_sort crossed product of a c*-algebra by a semigroup of interactions
publisher De Gruyter
series Demonstratio Mathematica
issn 0420-1213
2391-4661
publishDate 2014-06-01
description 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.
topic C*-algebra
interactions
partial isometry
crossed product
finely representable action
transfer operator
url http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0028/dema-2014-0028.xml?format=INT
work_keys_str_mv AT kwasniewskibk crossedproductofacalgebrabyasemigroupofinteractions
_version_ 1725050526519787520

Similar Items