Operator algebras conference in memory of Étienne Blanchard

The ring of integers and C*-algebras.

11 avr. 2019, 09:00

50m

Bâtiment Sophie Germain, Amphi Turing (Université Paris Diderot)

Abstract

Orateur

Joachim Cuntz (Univ. Munster)

Description

Among the most basic structures in mathematics are the sets of natural numbers and of integers with their operations of addition and multiplication. These structures give rise, in a completely natural way, to C-algebras with intriguing properties. The study of these C-algebras and in particular of their K-theoretical invariants reveals close connections with algebraic number theory. These connections can be extended, from the usual ring of integers to rings of algebraic integers in number fields.