Zeta functions of analytic rings via Euler products
type: Item
instance of: scholarly article
title: Zeta functions of analytic rings via Euler products
zbMATH Open document ID: 0603.58027
author: Nobushige Kurokawa
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: The author attaches a zeta-function to any \(C^*\)-dynamical system \(X: {\mathbb{R}}\to Aut(A)\), where A is a \(C^*\)-algebra. This generalizes Selberg's zeta-function. It is conjectured that these zeta-functions have an expression as a determinant and that special values of the zeta- functions can be expressed by means of K-groups of \(C^*(X)\). Some examples are given. It should also be possible to define L-functions for X in the sense of the author's earlier paper [ibid. 60, 335-338 (1984; Zbl 0559.12009)].
Mathematics Subject Classification ID: 37C25
zbMATH DE Number: 3973898
zbMATH Keywords: trace formula
zbMATH Keywords: zeta-function
zbMATH Keywords: \(C^ *\)-dynamical system
reviewed by: J. G. M. Mars
MaRDI profile type: Publication
full work available at URL: pjaa.62.193
OpenAlex ID: W1998282722
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DOI: 10.3792/PJAA.62.193
description: scientific article; zbMATH DE number 3973898