kalmar/PropertyT.jl
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if spectral_gap is < 0 don't compute Kazhdan constant

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kalmar 2017-03-17 16:24:55 +01:00
parent 7335a94fa6
commit 3517d28990
1 changed files with 4 additions and 4 deletions
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src/PropertyT.jl
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@ -143,12 +143,12 @@ function check_property_T(name::String, ID, generate_B₄::Function,
if κ > 0 if κ > 0
spectral_gap = check_distance_to_positive_cone(Δ, κ, A, tol=tol, rational=false) spectral_gap = check_distance_to_positive_cone(Δ, κ, A, tol=tol, rational=false)
Kazhdan_κ = sqrt(2*spectral_gap/S) if spectral_gap > 0
Kazhdan_κ = Float64(trunc(Kazhdan_κ,12)) Kazhdan_κ = sqrt(2*spectral_gap/S)
if Kazhdan_κ > 0 Kazhdan_κ = Float64(trunc(Kazhdan_κ,12))
info(logger, "κ($name, S) ≥ $Kazhdan_κ: Group HAS property (T)!") info(logger, "κ($name, S) ≥ $Kazhdan_κ: Group HAS property (T)!")
else else
info(logger, "κ($name, S) ≥ $Kazhdan_κ: Group may NOT HAVE property (T)!") info(logger, "λ($name, S) ≥ $spectral_gap: Group may NOT HAVE property (T)!")
end end
else else
info(logger, "κ($name, S) ≥ $κ < 0: Tells us nothing about property (T)") info(logger, "κ($name, S) ≥ $κ < 0: Tells us nothing about property (T)")