On super-KMS functionals and entire cyclic cohomology

DOI10.1007/BF00538427zbMath0692.46055MaRDI QIDQ583561

Konrad Osterwalder, Andrzej Lesniewski, Arthur Jaffe

Publication date: 1989

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

Sobolev normboundary operatorscyclic cohomologyChern characterquantum algebracentre cyclic cohomology for quantum algebrascreation and annihilationeven derivationsKMS functional

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (14)

Modular conjugation and the implementation of supersymmetry ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ Deformations of super-KMS functionals ⋮ The tensor product of supersymmetric N = (1,1) spectral data ⋮ An index theorem for super derivations ⋮ Ward identities for non-commutative geometry ⋮ Algebraic supersymmetry: a case study ⋮ Super-derivations and associated standard super-potentials ⋮ On supersymmetric fermion lattice systems ⋮ The modular group and super-KMS functionals ⋮ Chern character in equivariant entire cyclic cohomology ⋮ Quantum harmonic analysis and geometric invariants ⋮ Noncommutative Kähler structure on \(C^\ast\)-dynamical systems ⋮ Super-derivations

Cites Work

• Unnamed Item
• Quantum K-theory. II: Homotopy invariance of the Chern character
• Quantum K-theory. I: The Chern character
• Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules

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