K-theoretic torsion and the zeta function

نویسندگان

چکیده

We generalize to higher algebraic $K$-theory an identity (originally due Milnor) that relates the Reidemeister torsion of infinite cyclic cover its Lefschetz zeta function. Our involves a invariant, endomorphism torsion, parametrized family endomorphisms as well function such family. also exhibit several examples families having non-trivial torsion.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inductive Limits of K-theoretic Complexes with Torsion Coefficients

We present the first range result for the total K-theory of C∗-algebras. This invariant has been used successfully to classify certain separable, nuclear C∗-algebras of real rank zero. Our results complete the classification of the so-called AD algebras of real rank zero.

متن کامل

The Probabilistic Zeta Function

This paper is a summary of results on the PG(s) function, which is the reciprocal of the probabilistic zeta function for finite groups. This function gives the probability that s randomly chosen elements generate a group G, and information about the structure of the group G is embedded in it.

متن کامل

The Fibonacci Zeta Function

We consider the lacunary Dirichlet series obtained by taking the reciprocals of the s-th powers of the Fibonacci numbers. This series admits an analytic continuation to the entire complex plane. Its special values at integral arguments are then studied. If the argument is a negative integer, the value is algebraic. If the argument is a positive even integer, the value is transcendental by Neste...

متن کامل

Specularity, the Zeta-image, and Information-Theoretic Illuminant Estimation

Identification of illumination is an important problem in imaging. In this paper we present a new and effective physics-based colour constancy algorithm which makes use of a novel log-relativechromaticity planar constraint. We call the new feature the Zeta-image. We show that this new feature is tied to a novel application of the Kullback-Leibler Divergence, here applied to chromaticity values ...

متن کامل

K-Theory Torsion

The Chern isomorphism determines the free part of the K-groups from ordinary cohomology. Thus to really understand the implications of K-theory for physics one must look at manifolds with K-torsion. Unfortunately there are not many explicit examples, and usually for very symmetric spaces. Cartesian products of RPn are examples where the order of the torsion part differs between K-theory and ord...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annals of K-theory

سال: 2022

ISSN: ['2379-1691', '2379-1683']

DOI: https://doi.org/10.2140/akt.2022.7.77