How Well Do You Know Haagerup Property?
Haagerup property is named after Uffe Haagerup and it can be considered a property of groups that strongly negates Kazhdan's property (T). The Haagerup property is common in a lot of mathematical fields. This includes harmonic analysis, representation theory, operator K-theory, geometric group theory. We hope you have the necessary base to answer a few questions.
- 1.Which of these is irrelevant in this context?
- A.
T-menability
- B.
Set
- C.
Nonikov conjecture
- D.
Element
- 2.
What is the other name for Haagerup property?- A.
Gromorov property
- B.
Kazhdan property
- C.
T-menability
- D.
Gromorov T-menability
- 3.
What is the representation-theoretic form of rigidity?
- A.
Groups
- B.
Property
- C.
Set
- D.
Element
- 4.
Which if these does not engage the Haagerup property?
- A.
Operator
- B.
K-theory
- C.
Representation theory
- D.
Harmonic analysis
- 5.
Who invented the mathematical representation?
- A.
Agnes Alexandra
- B.
Uffe Haagerup
- C.
Van Andersen
- D.
Erikson Hansen
- 6.
Which of these is not related to Haagerup property?
- A.
Baum-Connes conjecture
- B.
Nonikov conjecture
- C.
K-theory
- D.
Jensen theory
- 7.
Which of these groups is not with Haagerup property?
- A.
Coxeter groups
- B.
Amenable groups
- C.
Compact groups
- D.
Hilbert groups
- 8.
What is the group with presentation called?
- A.
Coxeter group
- B.
Symmetry group
- C.
Polyhedra
- D.
Involition
- 9.
How many geometric groups have Haagerup property?
- A.
7 groups
- B.
8 groups
- C.
10 groups
- D.
4 groups
- 10.
What year saw the Nonikov conjecture publicised?
- A.
1965
- B.
1961
- C.
1973
- D.
1979
Questions: 12 | Attempts: 5566199 | Last updated: Mar 22, 2022
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