Results 11 to 20 of about 19,032,569 (230)
The tangent complex of K-theory [PDF]
, 2021 We prove that the tangent complex of K-theory, in terms of (abelian) deformation problems over a characteristic 0 field k, is cyclic homology (over k). This equivalence is compatible with the $\lambda$-operations.
Hennion, Benjamin
core +3 more sources
Twisted K-theory and K-theory of bundle gerbes [PDF]
, 2001 In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of D-brane charges in non-trivial backgrounds ...
Bouwknegt, P. +4 more
core +4 more sources
Algebraic K-theory and descent for blow-ups [PDF]
, 2016 We prove that algebraic K-theory satisfies ‘pro-descent’ for abstract blow-up squares of noetherian schemes. As an application we derive Weibel’s conjecture on the vanishing of negative K-groups.
M. Kerz, Florian Strunk, Georg Tamme
semanticscholar +1 more source
Quantitative K-theory and the Künneth formula for operator algebras [PDF]
Journal of Functional Analysis, 2016 In this paper, we apply quantitative operator K-theory to develop an algorithm for computing K-theory for the class of filtered C *-algebras with asymptotic finite nuclear decomposition. As a consequence, we prove the K{\"u}nneth formula for C *-algebras
H. Oyono-Oyono, Guoliang Yu
semanticscholar +1 more source
The generalized slices of Hermitian K‐theory [PDF]
, 2016 We compute the generalized slices (as defined by Spitzweck–Østvær) of the motivic spectrum KO (representing Hermitian K ‐theory) in terms of motivic cohomology and (a version of) generalized motivic cohomology, obtaining good agreement with the situation
Tom Bachmann
semanticscholar +1 more source
Cdh descent in equivariant homotopy K-theory [PDF]
, 2016 We construct geometric models for classifying spaces of linear algebraic groups in G-equivariant motivic homotopy theory, where G is a tame group scheme.
Marc Hoyois
semanticscholar +1 more source
Virtual pullbacks in $K$-theory [PDF]
, 2016 We consider virtual pullbacks in $K$-theory, and show that they are bivariant classes and satisfy certain functoriality. As applications to $K$-theoretic counting invariants, we include proofs of a virtual localization formula for schemes and a ...
F. Qu
semanticscholar +1 more source
Algebraic Kasparov K-theory. I [PDF]
, 2014 This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov $K$-theory spectra of $k$-algebras. These are shown to be homotopy invariant, excisive in each variable $K$-theories. We prove that the spectra represent universal
Cuntz +10 more
core +3 more sources
Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics [PDF]
, 2015 Illustration of key concepts in dimension d = 1.- Topological solid state systems: conjectures, experiments and models.- Observables algebras for solid state systems.- K-theory for topological solid state systems.- The topological invariants and their ...
E. Prodan, H. Schulz-Baldes
semanticscholar +1 more source
Spectral Mackey functors and equivariant algebraic K-theory, II [PDF]
Tunisian Journal of Mathematics, 2015 We study the "higher algebra" of spectral Mackey functors, which the first named author introduced in Part I of this paper. In particular, armed with our new theory of symmetric promonoidal $\infty$-categories and a suitable generalization of the second ...
C. Barwick, Saul Glasman, J. Shah
semanticscholar +1 more source