All questions with tag [math: amenability]

0

Nonamenable subgroups of the unitary group of the hyperfinite II_1 factor

The hyperfinite $II_1$ factor arises as the group von Neumann algebra of any infinite amenable group such that every conjugacy class but that of the identity has infinite cardinality. The unitary group of this von Neumann algebra contains every countable discrete amenable group as a subgroup. I'd like to collect here some exotic (countable disc...
2022-07-02 23:33:32
1

Quotient of a f.p. amenable group

Can you offer me an instance of a finitely created definitely offered responsive team which is a ratio of a finitely offered responsive team?
2022-06-30 00:21:17
1

Amenability of a covering group

Suppose $F$ is a nonabelian free team and also $F/N_1$ and also $F/N_2$ are responsive teams. Does it adhere to that $F/(N_1 \cap N_2)$ is responsive?
2022-06-29 00:20:06
3

Is $SO_2$ an amenable group?

In S. Wagon is "The Banach - Tarski Paradox, " responsive teams are specified on p. 12 as adheres to: [responsive ] teams birth a left - stable, finitely additive action of complete action one that is specified on all parts. He specifies $SO_2$ to be the team of turnings of the device circle, which he has actually made use of to s...
2022-06-05 15:10:45