C*-crossed products by partial actions and actions of inverse semigroups

Nandor Sieben

C*-crossed products by partial actions and actions of inverse semigroups

funct-an 2008-02-03 v1 Operator Algebras

Authors: Nandor Sieben

Abstract

The recently developed theory of partial actions of discrete groups on $C^*$ -algebras is extended. A related concept of actions of inverse semigroups on $C^*$ -algebras is defined, including covariant representations and crossed products. The main result is that every partial crossed product is a crossed product by a semigroup action.

Keywords

c*-algebras partial actions inverse semigroups crossed products covariant representations

Cite

@article{arxiv.funct-an/9602006,
  title  = {C*-crossed products by partial actions and actions of inverse semigroups},
  author = {Nandor Sieben},
  journal= {arXiv preprint arXiv:funct-an/9602006},
  year   = {2008}
}

Comments

22 pages, Plain tex

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