diff --git a/Project.toml b/Project.toml
index 087e67c..d0c000f 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "KroneckerArrays"
 uuid = "05d0b138-81bc-4ff7-84be-08becefb1ccc"
 authors = ["ITensor developers <support@itensor.org> and contributors"]
-version = "0.3.4"
+version = "0.3.5"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
@@ -34,6 +34,6 @@ GPUArraysCore = "0.2"
 LinearAlgebra = "1.10"
 MapBroadcast = "0.1.10"
 MatrixAlgebraKit = "0.6"
-TensorAlgebra = "0.6.2"
+TensorAlgebra = "0.6.3"
 TypeParameterAccessors = "0.4.2"
 julia = "1.10"
diff --git a/ext/KroneckerArraysTensorAlgebraExt/KroneckerArraysTensorAlgebraExt.jl b/ext/KroneckerArraysTensorAlgebraExt/KroneckerArraysTensorAlgebraExt.jl
index 921ab96..b23009a 100644
--- a/ext/KroneckerArraysTensorAlgebraExt/KroneckerArraysTensorAlgebraExt.jl
+++ b/ext/KroneckerArraysTensorAlgebraExt/KroneckerArraysTensorAlgebraExt.jl
@@ -3,7 +3,7 @@ module KroneckerArraysTensorAlgebraExt
 using KroneckerArrays: KroneckerArrays, AbstractKroneckerArray, CartesianProductUnitRange,
     ⊗, cartesianrange, kroneckerfactors, kroneckerfactortypes
 using TensorAlgebra: TensorAlgebra, AbstractBlockPermutation, BlockedTrivialPermutation,
-    FusionStyle, matricize, tensor_product_axis, unmatricize
+    FusionStyle, matricize, tensor_product_axis, trivial_axis, unmatricize
 
 struct KroneckerFusion{A <: FusionStyle, B <: FusionStyle} <: FusionStyle
     a::A
@@ -19,14 +19,57 @@ function TensorAlgebra.FusionStyle(A::Type{<:CartesianProductUnitRange})
     return KroneckerFusion(FusionStyle.(kroneckerfactortypes(A))...)
 end
 
+function TensorAlgebra.trivial_axis(
+        style::KroneckerFusion, side::Val{:codomain}, a::AbstractArray,
+        axes_codomain::Tuple{Vararg{AbstractUnitRange}},
+        axes_domain::Tuple{Vararg{AbstractUnitRange}},
+    )
+    return trivial_kronecker(style, side, a, axes_codomain, axes_domain)
+end
+function TensorAlgebra.trivial_axis(
+        style::KroneckerFusion, side::Val{:domain}, a::AbstractArray,
+        axes_codomain::Tuple{Vararg{AbstractUnitRange}},
+        axes_domain::Tuple{Vararg{AbstractUnitRange}},
+    )
+    return trivial_kronecker(style, side, a, axes_codomain, axes_domain)
+end
+function trivial_kronecker(
+        style::FusionStyle, side::Val, a::AbstractArray,
+        axes_codomain::Tuple{Vararg{AbstractUnitRange}},
+        axes_domain::Tuple{Vararg{AbstractUnitRange}},
+    )
+    style_a, style_b = kroneckerfactors(style)
+    a_a, a_b = kroneckerfactors(a)
+    axes_codomain_a = kroneckerfactors.(axes_codomain, 1)
+    axes_codomain_b = kroneckerfactors.(axes_codomain, 2)
+    axes_domain_a = kroneckerfactors.(axes_domain, 1)
+    axes_domain_b = kroneckerfactors.(axes_domain, 2)
+    ra = trivial_axis(style_a, side, a_a, axes_codomain_a, axes_domain_a)
+    rb = trivial_axis(style_b, side, a_b, axes_codomain_b, axes_domain_b)
+    return cartesianrange(ra, rb)
+end
+
 function TensorAlgebra.tensor_product_axis(
-        style::KroneckerFusion, r1::AbstractUnitRange, r2::AbstractUnitRange
+        style::KroneckerFusion, side::Val{:codomain},
+        r1::AbstractUnitRange, r2::AbstractUnitRange,
+    )
+    return tensor_product_kronecker(style, side, r1, r2)
+end
+function TensorAlgebra.tensor_product_axis(
+        style::KroneckerFusion, side::Val{:domain},
+        r1::AbstractUnitRange, r2::AbstractUnitRange,
+    )
+    return tensor_product_kronecker(style, side, r1, r2)
+end
+function tensor_product_kronecker(
+        style::KroneckerFusion, side::Val,
+        r1::AbstractUnitRange, r2::AbstractUnitRange,
     )
     style_a, style_b = kroneckerfactors(style)
     r1a, r1b = kroneckerfactors(r1)
     r2a, r2b = kroneckerfactors(r2)
-    ra = tensor_product_axis(style_a, r1a, r2a)
-    rb = tensor_product_axis(style_b, r1b, r2b)
+    ra = tensor_product_axis(style_a, side, r1a, r2a)
+    rb = tensor_product_axis(style_b, side, r1b, r2b)
     return cartesianrange(ra, rb)
 end
 
@@ -44,8 +87,7 @@ function TensorAlgebra.matricize(
 end
 
 function unmatricize_kronecker(
-        style::FusionStyle,
-        m::AbstractMatrix,
+        style::FusionStyle, m::AbstractMatrix,
         axes_codomain::Tuple{Vararg{AbstractUnitRange}},
         axes_domain::Tuple{Vararg{AbstractUnitRange}},
     )
@@ -60,8 +102,7 @@ function unmatricize_kronecker(
     return a1 ⊗ a2
 end
 function TensorAlgebra.unmatricize(
-        style::KroneckerFusion,
-        m::AbstractMatrix,
+        style::KroneckerFusion, m::AbstractMatrix,
         codomain_axes::Tuple{Vararg{AbstractUnitRange}},
         domain_axes::Tuple{Vararg{AbstractUnitRange}},
     )
diff --git a/test/test_tensoralgebra.jl b/test/test_tensoralgebra.jl
index ecbcd8e..fdb0efb 100644
--- a/test/test_tensoralgebra.jl
+++ b/test/test_tensoralgebra.jl
@@ -1,9 +1,12 @@
-using TensorAlgebra: matricize, tensor_product_axis, unmatricize
+using TensorAlgebra: matricize, tensor_product_axis, trivial_axis, unmatricize
 using KroneckerArrays: ⊗, cartesianrange, kroneckerfactors, unproduct
 using Test: @test, @testset
 
 @testset "TensorAlgebraExt" begin
     @testset "tensor_product_axis" begin
+        r = cartesianrange(2, 3)
+        @test trivial_axis(r) ≡ cartesianrange(1, 1)
+
         r1 = cartesianrange(2, 3)
         r2 = cartesianrange(4, 5)
         r = tensor_product_axis(r1, r2)
@@ -15,7 +18,8 @@ using Test: @test, @testset
     @testset "matricize/unmatricize" begin
         a = randn(2, 2, 2) ⊗ randn(3, 3, 3)
         m = matricize(a, (1, 2), (3,))
-        @test m == matricize(kroneckerfactors(a, 1), (1, 2), (3,)) ⊗ matricize(kroneckerfactors(a, 2), (1, 2), (3,))
+        @test m == matricize(kroneckerfactors(a, 1), (1, 2), (3,)) ⊗
+            matricize(kroneckerfactors(a, 2), (1, 2), (3,))
         @test unmatricize(m, (axes(a, 1), axes(a, 2)), (axes(a, 3),)) == a
     end
 end