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$a\otimes(-a) = a \otimes (1-a) + a^{-1}\otimes(1-a^{-1})$???

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#tensor-products #tensors #multilinear-algebra #k-theory #algebraic-k-theory
313
Views

Show that $K_2(F)$ is a direct summand of $K_2F(t)$

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#abstract-algebra #group-theory #k-theory #algebraic-k-theory
776
Views

Properties of injective modules

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#abstract-algebra #category-theory #homological-algebra #injective-module #algebraic-k-theory
337
Views

Compatibility of tensor product and external tensor product in algebraic K-theory

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#algebraic-geometry #representation-theory #complex-geometry #coherent-sheaves #algebraic-k-theory
777
Views

17 definitions of algebraic K-theory of a ring. Which should I take?

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#number-theory #algebraic-geometry #homotopy-theory #algebraic-k-theory
70
Views

What are the K groups of $X_n$?

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#abstract-algebra #algebraic-topology #k-theory #topological-k-theory #algebraic-k-theory
43
Views

Help with a problem in K-theory/C- algebras.

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#algebraic-topology #k-theory #topological-k-theory #algebraic-k-theory #winding-number
171
Views

What are the K groups of $X_n$, the wedge sum of $n$ circles at a single point?

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#general-topology #algebraic-topology #k-theory #topological-k-theory #algebraic-k-theory
81
Views

Recovering components in the projective bundle formula

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#algebraic-geometry #algebraic-k-theory
131
Views

Excision sequence for $K_0$ in algebraic $K$-theory

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#k-theory #algebraic-k-theory
48
Views

Is there a categorical way to see that $K_1(A)\twoheadrightarrow K_1(A/I)$ for a nilpotent ideal $I\subset A$?

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#category-theory #k-theory #algebraic-k-theory
127
Views

When two Algebraic vector bundles on a Noetherian quasi-affine scheme are equal in $K_0$ of the scheme

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#algebraic-geometry #schemes #coherent-sheaves #algebraic-k-theory #algebraic-vector-bundles
122
Views

Grothendieck group of local affine- surfaces with rational singularities

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#algebraic-geometry #commutative-algebra #sheaf-cohomology #derived-functors #algebraic-k-theory
67
Views

Proving $K_1(\mathcal{T})=0$ (is trivial)

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#c-star-algebras #k-theory #topological-k-theory #algebraic-k-theory
89
Views

The generator of $K_0(C(\partial(]0,1[^2)))$ and $K_1(C(\partial(]0,1[^2)))$

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#c-star-algebras #k-theory #topological-k-theory #algebraic-k-theory

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