A classification of the commutative Banach perfect semi-fields of characteristic 1. Applications
Rings and Algebras
2016-07-01 v2 Algebraic Geometry
Number Theory
Operator Algebras
Abstract
We define and study the concept of commutative Banach perfect semi-field of characteristic 1 by using results from Connes-Consani. We prove a Gelfand-Naimark type theorem allowing to identify such a Banach semi-field F to the semi-field of all the continuous functions on a compact space which we define as the spectrum of F. We give many applications.
Keywords
Cite
@article{arxiv.1606.00328,
title = {A classification of the commutative Banach perfect semi-fields of characteristic 1. Applications},
author = {Eric Leichtnam},
journal= {arXiv preprint arXiv:1606.00328},
year = {2016}
}
Comments
References have been added and a few typos have been corrected