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math.KT2008★ 13 cited
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…
math.KT2007★ 13 cited
A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory
A. L. Carey, J. Phillips, A. Rennie
We investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a noncommutative geometry setting framed in terms of Kasparov modules. We use a mapping cone construction to r…