The tight groupoid of the inverse semigroups of left cancellative small categories
Peer reviewed, Journal article
Published version
View/ Open
Date
2020Metadata
Show full item recordCollections
- Institutt for matematiske fag [2531]
- Publikasjoner fra CRIStin - NTNU [38672]
Original version
10.1090/tran/8100Abstract
We fix a path model for the space of filters of the inverse semigroup associated to a left cancellative small category . Then, we compute its tight groupoid, thus giving a representation of its -algebra as a (full) groupoid algebra. Using it, we characterize simplicty for these algebras. Also, we determine amenability of the tight groupoid under mild, reasonable hypotheses.