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# Operator Algebra and Noncommutative Geometry Seminar Series

## August 3, 2017 @ 3:30 pm - 4:30 pm

##### Title

C*-algebras of some submonoids of 2-generator Artin braid groups.

##### Speaker

Professor Jack Spielberg (Arizona State University)

##### Abstract

Given a permutation f of a set S, one can dene a monoid by the presentation: *< S j af(a) = bf(b); for a; b 2 S >.* It turns out that this semigroup is left cancellative, and hence there is well-oiled machinery for producing C*-algebras from it. In fact, this monoid is closely related to 2-generator Artin monoids (especially in the case that S is a single orbit of *f*). I will describe the several monoids involved, and also the C*-algebra(s) (in terms of groupoids) along with some details of their structure. This is (still) work in progress, joint with Tron Omland, David Pask, and Adam Sørensen.