Quantum K-theory. II: Homotopy invariance of the Chern character

DOI10.1016/0022-1236(90)90087-2zbMath0708.58033OpenAlexW2026822965MaRDI QIDQ920461

Andrzej Lesniewski, Ping Feng, Kaspar Ernst, Arthur Jaffe

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90087-2

zbMATH Keywords

Dirac operatorChern characterquantum algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of global analysis to the sciences (58Z05) Characteristic classes and numbers in differential topology (57R20)

Related Items

Supersymmetry and Fredholm modules over quantized spaces, Superspace formulation of the Chern character of a theta-summable Fredholm module, TWISTED ENTIRE CYCLIC COHOMOLOGY, J-L-O COCYCLES AND EQUIVARIANT SPECTRAL TRIPLES, Pseudodifferential extension and Todd class, Deformations of super-KMS functionals, Ward identities for non-commutative geometry, On super-KMS functionals and entire cyclic cohomology, Equivariant entire cyclic cohomology. I: Finite groups, Quantum harmonic analysis and geometric invariants, Transgression and the Chern character of finite-dimensional K-cycles, On the Chern character of \(\theta \) summable Fredholm modules

Cites Work

• Quantum K-theory. I: The Chern character
• Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
• On the Chern character of a theta-summable Fredholm module
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups