Anticommutation in the Presentations of Theta-Deformed Spheres

Abstract

We consider an analogue of the theta-deformed even spheres, modifying the relations demanded of the self-adjoint generator x in the usual presentation. In this analogue, x is given anticommutation relations with all of the other generators, as opposed to being central. Using even K-theory, we show that noncommutative Borsuk-Ulam theorems hold for these algebras.

14 pages

References in corpus (4)

• Freeness of actions of finite groups on C*-algebras
• Free Actions on C*-algebra Suspensions and Joins by Finite Cyclic Groups
• Towards a noncommutative Brouwer fixed-point theorem
• A Noncommutative Borsuk-Ulam Theorem for Natsume-Olsen Spheres

Cited by in corpus (2)

• Equivariant Dimensions of Graph C*-algebras
• Triviality of Equivariant Maps in Crossed Products and Matrix Algebras