Comparison of secondary invariants of algebraic K-theory

DOI10.1017/is010006019jkt119zbMath1241.19001arXiv0804.1589OpenAlexW2075162834MaRDI QIDQ3092870

Jens Kaad

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/0804.1589

zbMATH Keywords

Fredholm determinantmultiplicative characteralgebraic \(K_{2}\)

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Fredholm structures on infinite-dimensional manifolds (58B15) Noncommutative geometry (à la Connes) (58B34) Steinberg groups and (K_2) (19C99)

Related Items (11)

Crossed product extensions of spectral triples ⋮ Gromov-Hausdorff convergence of state spaces for spectral truncations ⋮ On the Witten index in terms of spectral shift functions ⋮ A modular spectral triple for \(\kappa\)-Minkowski space ⋮ Exotic cyclic cohomology classes and Lipschitz algebras ⋮ NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS ⋮ Joint torsion of several commuting operators ⋮ A regulator for smooth manifolds and an index theorem ⋮ A calculation of the multiplicative character ⋮ On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems ⋮ Non-commutative integration, zeta functions and the Haar state for \(\mathrm{SU}_q(2)\)

Cites Work

• Acyclic groups of automorphisms
• Caractère multiplicatif d'un module de Fredholm. (Multiplicative character of a Fredholm module)
• Delooping classifying spaces in algebraic K-theory
• Perturbation vectors
• A Serre-Swan theorem for bundles of bounded geometry
• Operator algebras and algebraic $K$-theory
• Steinberg symbols modulo the trace class, holonomy, and limit theorems for Toeplitz determinants

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