diff --git a/Project.toml b/Project.toml
index 842510577..cf50d3418 100644
--- a/Project.toml
+++ b/Project.toml
@@ -41,7 +41,7 @@ Printf = "1"
 QuadGK = "2.11.1"
 Random = "1"
 Statistics = "1"
-TensorKit = "0.14.6"
+TensorKit = "0.14.9"
 TensorOperations = "5"
 TestExtras = "0.3"
 VectorInterface = "0.4, 0.5"
diff --git a/src/environments/ctmrg_environments.jl b/src/environments/ctmrg_environments.jl
index 4f50688ec..de85fe06e 100644
--- a/src/environments/ctmrg_environments.jl
+++ b/src/environments/ctmrg_environments.jl
@@ -384,10 +384,7 @@ cornertype(::Type{CTMRGEnv{C,E}}) where {C,E} = C
 edgetype(env::CTMRGEnv) = edgetype(typeof(env))
 edgetype(::Type{CTMRGEnv{C,E}}) where {C,E} = E
 
-TensorKit.spacetype(env::CTMRGEnv) = spacetype(typeof(env))
 TensorKit.spacetype(::Type{E}) where {E<:CTMRGEnv} = spacetype(cornertype(E))
-TensorKit.sectortype(env::CTMRGEnv) = sectortype(typeof(env))
-TensorKit.sectortype(::Type{E}) where {E<:CTMRGEnv} = sectortype(cornertype(E))
 
 # In-place update of environment
 function update!(env::CTMRGEnv{C,T}, env´::CTMRGEnv{C,T}) where {C,T}
diff --git a/src/operators/infinitepepo.jl b/src/operators/infinitepepo.jl
index 846da7ecb..cc3e7be88 100644
--- a/src/operators/infinitepepo.jl
+++ b/src/operators/infinitepepo.jl
@@ -150,6 +150,7 @@ end
 
 ## Spaces
 
+TensorKit.spacetype(::Type{P}) where {P<:InfinitePEPO} = spacetype(eltype(P))
 virtualspace(T::InfinitePEPO, r::Int, c::Int, h::Int, dir) = virtualspace(T[r, c, h], dir)
 domain_physicalspace(T::InfinitePEPO, r::Int, c::Int) = domain_physicalspace(T[r, c, 1])
 function codomain_physicalspace(T::InfinitePEPO, r::Int, c::Int)
diff --git a/src/operators/localoperator.jl b/src/operators/localoperator.jl
index 1d925792e..7855b488c 100644
--- a/src/operators/localoperator.jl
+++ b/src/operators/localoperator.jl
@@ -188,9 +188,6 @@ end
 
 # Charge shifting
 # ---------------
-TensorKit.sectortype(O::LocalOperator) = sectortype(typeof(O))
-TensorKit.sectortype(::Type{<:LocalOperator{T,S}}) where {T,S} = sectortype(S)
-TensorKit.spacetype(O::LocalOperator) = spacetype(typeof(O))
 TensorKit.spacetype(::Type{T}) where {S,T<:LocalOperator{<:Any,S}} = S
 
 @generated function _fuse_isomorphisms(
diff --git a/src/states/infinitepartitionfunction.jl b/src/states/infinitepartitionfunction.jl
index 3a08048b4..a558227ab 100644
--- a/src/states/infinitepartitionfunction.jl
+++ b/src/states/infinitepartitionfunction.jl
@@ -147,6 +147,7 @@ end
 
 ## Spaces
 
+TensorKit.spacetype(::Type{T}) where {T<:InfinitePartitionFunction} = spacetype(eltype(T))
 virtualspace(n::InfinitePartitionFunction, r::Int, c::Int, dir) = virtualspace(n[r, c], dir)
 
 ## InfiniteSquareNetwork interface
diff --git a/src/states/infinitepeps.jl b/src/states/infinitepeps.jl
index aa6c7862a..06e67cea7 100644
--- a/src/states/infinitepeps.jl
+++ b/src/states/infinitepeps.jl
@@ -139,9 +139,6 @@ end
 
 ## Spaces
 
-TensorKit.sectortype(t::InfinitePEPS) = sectortype(typeof(t))
-TensorKit.sectortype(::Type{T}) where {T<:InfinitePEPS} = sectortype(eltype(T))
-TensorKit.spacetype(t::InfinitePEPS) = spacetype(typeof(t))
 TensorKit.spacetype(::Type{T}) where {T<:InfinitePEPS} = spacetype(eltype(T))
 virtualspace(n::InfinitePEPS, r::Int, c::Int, dir) = virtualspace(n[r, c], dir)
 physicalspace(n::InfinitePEPS, r::Int, c::Int) = physicalspace(n[r, c])
diff --git a/src/states/infiniteweightpeps.jl b/src/states/infiniteweightpeps.jl
index 7d1503831..e0f45a589 100644
--- a/src/states/infiniteweightpeps.jl
+++ b/src/states/infiniteweightpeps.jl
@@ -66,10 +66,7 @@ Base.axes(W::SUWeight, args...) = axes(W.data, args...)
 Base.iterate(W::SUWeight, args...) = iterate(W.data, args...)
 
 ## spaces
-TensorKit.spacetype(w::SUWeight) = spacetype(typeof(w))
 TensorKit.spacetype(::Type{T}) where {E,T<:SUWeight{E}} = spacetype(E)
-TensorKit.sectortype(w::SUWeight) = sectortype(typeof(w))
-TensorKit.sectortype(::Type{<:SUWeight{T}}) where {T} = sectortype(spacetype(T))
 
 ## (Approximate) equality
 function Base.:(==)(wts1::SUWeight, wts2::SUWeight)
@@ -216,10 +213,7 @@ function Base.size(peps::InfiniteWeightPEPS)
     return size(peps.vertices)
 end
 
-TensorKit.spacetype(peps::InfiniteWeightPEPS) = spacetype(typeof(peps))
 TensorKit.spacetype(::Type{T}) where {E,T<:InfiniteWeightPEPS{E}} = spacetype(E)
-TensorKit.sectortype(peps::InfiniteWeightPEPS) = sectortype(typeof(peps))
-TensorKit.sectortype(::Type{<:InfiniteWeightPEPS{T}}) where {T} = sectortype(spacetype(T))
 
 function _absorb_weights(
     t::PEPSTensor,
diff --git a/test/ctmrg/partition_function.jl b/test/ctmrg/partition_function.jl
index e74ed0295..cba765c0d 100644
--- a/test/ctmrg/partition_function.jl
+++ b/test/ctmrg/partition_function.jl
@@ -92,6 +92,11 @@ env0 = CTMRGEnv(Z, χenv)
 ctm_styles = [:sequential, :simultaneous]
 projector_algs = [:halfinfinite, :fullinfinite]
 
+@test spacetype(typeof(Z)) === ComplexSpace
+@test spacetype(Z) === ComplexSpace
+@test sectortype(typeof(Z)) === Trivial
+@test sectortype(Z) === Trivial
+
 @testset "Classical Ising partition function using $alg with $projector_alg" for (
     alg, projector_alg
 ) in Iterators.product(
diff --git a/test/ctmrg/pepo.jl b/test/ctmrg/pepo.jl
index a9880caf9..7acd262ad 100644
--- a/test/ctmrg/pepo.jl
+++ b/test/ctmrg/pepo.jl
@@ -69,6 +69,11 @@ projector_algs = [:halfinfinite, :fullinfinite]
     n = InfiniteSquareNetwork(psi0, T)
     env0 = CTMRGEnv(n, χenv)
 
+    @test spacetype(typeof(T)) === ComplexSpace
+    @test spacetype(T) === ComplexSpace
+    @test sectortype(typeof(T)) === Trivial
+    @test sectortype(T) === Trivial
+
     @testset "PEPO CTMRG contraction using $alg with $projector_alg" for (
         alg, projector_alg
     ) in Iterators.product(