Inverse semigroups and the Cuntz-Li algebras

Details Inverse semigroups and the Cuntz-Li algebras Inverse semigroups and the Cuntz-Li algebras

2011-04-06

arxiv.org/abs/1104.1085v2

Mathematics

Operator Algebras

A section added on Nica covariance and boundary relations. Few typos corrected

Scientific paper

In this paper, we apply the theory of inverse semigroups to the $C^{*}$-algebra $U[\mathbb{Z}]$ considered in \cite{Cuntz}. We show that the $C^{*}$-algebra $U[\mathbb{Z}]$ is generated by an inverse semigroup of partial isometries. We explicity identify the groupoid $\mathcal{G}_{tight}$ associated to the inverse semigroup and show that $\mathcal{G}_{tight}$ is exactly the same groupoid obtained in \cite{Cuntz-Li}.

Affiliated with

Also associated with

No associations

Rating

Inverse semigroups and the Cuntz-Li algebras 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 Inverse semigroups and the Cuntz-Li algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse semigroups and the Cuntz-Li algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417979