Communications in Mathematical Physics

, Volume 125, Issue 1, pp 147–152 | Cite as

An index theorem for super derivations

  • Arthur Jaffe
  • Andrzej Lesniewski


We show that the Chern character given by a super-KMS functional on a quantum algebra can be interpreted in terms of the index of a super derivation on a projection of the algebra.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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  1. [C1]
    Connes, A.: Noncommutative differential geometry. Publ. Math. IHES62, 257–360 (1985)Google Scholar
  2. [C2]
    Connes, A.: Entire cyclic cohomology of banach algebras and characters ofθ-summable Fredholm modules. K-Theory1, 519–548 (1988)Google Scholar
  3. [JLO1]
    Jaffe, A., Lesniewski, A., Osterwalder, K.: QuantumK-theory. I. The Chern character. Commun. Math. Phys.18, 1–14 (1988)Google Scholar
  4. [JLO2]
    Jaffe, A., Lesniewski, A., Osterwalder, K.: On super-KMS functionals and entire cyclic cohomology. K-Theory (to appear)Google Scholar
  5. [JLW]
    Jaffe, A., Lesniewski, A., Wisniowski, M.: Deformation of super-KMS functionals. Commun. Math. Phys.121, 527–540 (1989)Google Scholar
  6. [K]
    Kastler, D.: Cyclic cocyles from graded KMS functionals. Commun. Math. Phys.121, 345–350 (1989)Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Arthur Jaffe
    • 1
  • Andrzej Lesniewski
    • 1
  1. 1.Harvard UniversityCambridgeUSA

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