Exotic twisted equivariant K-theory

Abstract

In this paper we introduce exotic twisted T-equivariant K-theory of loop space LZ depending on the (typically non-flat) holonomy line bundle LB on LZ of a gerbe with connection on Z. We define an exotic twisted T-equivariant Chern character on the exotic twisted T-equivariant K-theory of LZ that maps to the exotic twisted T-equivariant cohomology of LZ as previously defined in Han and Mathai (2015).