256 citations · 944 across the 58 of their papers we have counts for
3 papers · 1 filter
Twisted cyclic theory, equivariant KK theory and KMS States
Alan L. Carey, Sergey Neshveyev, Ryszard Nest +1
Recently, examples of an index theory for KMS states of circle actions were discovered, \cite{CPR2,CRT}. We show that these examples are not isolated. Rather there is a general fra…
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators
Alan Carey, Denis Potapov, Fyodor Sukochev
One may trace the idea that spectral flow should be given as the integral of a one form back to the 1974 Vancouver ICM address of I.M. Singer. Our main theorem gives analytic formu…
Twisted cyclic theory and an index theory for the gauge invariant KMS state on Cuntz algebras
A. L. Carey, J. Phillips, A. Rennie
This paper presents, by example, an index theory appropriate to algebras without trace. Whilst we work exclusively with the Cuntz algebras the exposition is designed to indicate ho…