A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms

Details A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms

2005-11-02

arxiv.org/abs/math/0511061v3

Ergodic Theory Dynam. Systems, 28 (2008), 749 - 789

Mathematics

Operator Algebras

Proposition 4.9 was given a better proof, references were added and minor typos were corrected

Scientific paper

Let G be a group and let P be a subsemigroup of G. In order to describe the crossed product of a C*-algebra A by an action of P by unital endomorphisms we find that we must extend the action to the whole group G. This extension fits into a broader notion of "interaction groups" which consists of an assignment of a positive operator V_g on A for each g in G, obeying a partial group law, and such that (V_g,V_{g^{-1}}) is an interaction for every g, as defined in a previous paper by the author. We then develop a theory of crossed products by interaction groups and compare it to other endomorphism crossed product constructions.

Affiliated with

Also associated with

No associations

Rating

A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new look at the Crossed-Product of a C*-Algebra by a Semigroup of Endomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639886