2 sonuçlar
Arama Sonuçları
Listeleniyor 1 - 2 / 2
Yayın Quantum van Est isomorphism(Cornell Univ, 2022-05-07) Kaygun, Atabey; Sütlü, SerkanMotivated by the fact that the Hopf-cyclic (co)homology of the quantized algebras of functions and quantized universal enveloping algebras are the correct analogues of the Lie algebra and Lie group (co)homologies, we hereby construct three van Est type isomorphisms between the Hopf-cyclic (co)homologies of Lie groups and Lie algebras, and their quantum groups and corresponding enveloping algebras, both in h-adic and q-deformation frameworks.Yayın The asymptotic Connes-Moscovici characteristic map and the index cocycles(Institute of Mathematics Polish Academy of Sciences, 2020) Kaygun, Atabey; Sütlü, SerkanWe show that the (even and odd) index cocycles for theta-summable Fredholm modules are in the image of the Connes–Moscovici characteristic map. To show this, we first define a new range of asymptotic cohomologies, and then we extend the Connes–Moscovici characteristic map to our setting. The ordinary periodic cyclic cohomology and the entire cyclic cohomology appear as two instances of this setup. We then construct an asymptotic characteristic class, defined independently from the underlying Fredholm module. Paired with the K-theory, the image of this class under the characteristic map yields a non-zero scalar multiple of the index in the even case, and the spectral flow in the odd case.
