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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access June 6, 2014

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

  • B. K. Kwaśniewski EMAIL logo
From the journal Demonstratio Mathematica


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.


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Received: 2011-11-11
Revised: 2012-10-2
Published Online: 2014-6-6
Published in Print: 2014-6-1

© by B. K. Kwaśniewski

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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