Let $G$ be an amenable locally compact group with identity $e$.
Out of curiosity, can we choose a Folner net $(F_i)$ to be a basis of neighborhoods at $e$ for some classes of locally compact groups ?
2026-02-23 11:30:18.1771846218
Folner nets for amenable groups and basis of neighborhoods at $e$
42 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in TOPOLOGICAL-GROUPS
- Are compact groups acting on Polish spaces essentially Polish?
- Homotopy group of rank 2 of various manifolds
- A question on Group of homeomorphism of $[0,1]$.
- $G\cong G/H\times H$ measurably
- Is a connected component a group?
- How to realize the character group as a Lie/algebraic/topological group?
- Show $\widehat{\mathbb{Z}}$ is isomorphic to $S^1$
- a question on Ellis semigroup
- Pontryagin dual group inherits local compactness
- Property of the additive group of reals
Related Questions in LOCALLY-COMPACT-GROUPS
- Locally Compact Hausdorff Topologial Group but not Sequential?
- existence of weak* continuous means for amenable locally compact groups
- Decomposition of $L^2(S^1)$
- How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?
- Integral converges "$UZg$ is closed in $G$"
- A small problem on the annihilators of some subgroups
- Samuel compactification of the real line
- Every quasicharacter of an open subgroup extends to a quasicharacter of the group
- The measurability of convolution in locally compact group
- Convolution of a function and a measure.
Related Questions in AMENABILITY
- existence of weak* continuous means for amenable locally compact groups
- Polynomially sized Folner sets
- The positive net of a weak* convergent net is weak* convergent.
- Show that free group $\mathbb{F}_2$ is not amenable using Hulanicki-Reiter condition.
- HNN embedding theorem for countable groups not preserving amenability
- Amenability of countable product of a finite group.
- Bound on the measure of a sum of sets
- Extensions of amenable groups
- Strong Folner condition(SFC) implies the existence of a left Følner sequence.
- Index of subgroups in residually finite groups
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?