How Well Do You Know Haagerup Property?

10 Questions | Total Attempts: 107

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How Well Do You Know Haagerup Property? - Quiz

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.


Questions and Answers
  • 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

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