David Brook

collaborators

2 papers

math.KT2020

Computations in higher twisted $K$ -theory

David Brook

Higher twisted $K$ -theory is an extension of twisted $K$ -theory introduced by Ulrich Pennig which captures all of the homotopy-theoretic twists of topological $K$ -theory in a geome…

math.OA2019

Loop group actions on Cuntz algebras and geometric higher twists

David Brook, Varghese Mathai

We consider representations of the Cuntz algebras $O_{N}$ as constructed by Bratteli-Jorgensen and use these to define a faithful action of the analytic loop group $L_{\te…

Computations in higher twisted K-theory

Loop group actions on Cuntz algebras and geometric higher twists

Computations in higher twisted $K$ -theory