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

B. K. Kwaśniewski
2014 Demonstratio Mathematica  
AbstractThe 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.
doi:10.2478/dema-2014-0028 fatcat:sxtcheggjjainjkiqyzxq6yw2a