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

Demonstratio mathematica

article

B. K. Kwaśniewski¹ 

[1] INSTITUTE OF MATHEMATICS UNIVERSITY IN BIAŁYSTOK ul. Akademicka 2 PL-15-267 BIAŁYSTOK

关键词: C*-algebra;    interactions;    partial isometry;    crossed product;    finely representable action;    transfer operator;   

DOI  :  10.2478/dema-2014-0028

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY