Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions

Details Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions

2006-03-08

arxiv.org/abs/math/0603202v1

Mathematics

Operator Algebras

20 pages

Scientific paper

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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