Hi, I am interested in the set $\mathbb A-\mathbb A^\times$ i.e. the complement of ideles in the adele ring of a number field.

Is it measurable, and what is its volume, with respect to the standard measure of adeles?
("standard" means the same as in Tate's thesis)

Thank you.

2 added 53 characters in body

Hi, I am interested in the complement of ideles in the adele ring of a number field.

Is it measurable, and what is its volume, with respect to the standard measure of adeles?
("standard" means the same as in Tate's thesis)

Thank you.

1

# Measure of "adeles minus ideles"

Hi, I am interested in the complement of ideles in the adele ring of a number field. Is it measurable, and what is its volume, with respect to the standard measure of adeles?

Thank you.