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15
335
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Algebraic results using lower K-theory as a blackbox

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#k-theory #algebraic-k-theory
168
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A question on algebraic K-theory- show that $K_1(R)\cong R^\times$ if $R$ is a field.

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#abstract-algebra #k-theory #algebraic-k-theory
720
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When does a smooth projective variety X have a free Grothendieck group

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#algebraic-geometry #sheaf-theory #k-theory #algebraic-k-theory
347
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Exercises in Topological K-Theory (Atiyah)

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#reference-request #soft-question #big-list #topological-k-theory #k-theory
160
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What is the 'Hom-description'?

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#abstract-algebra #number-theory #algebraic-number-theory #k-theory #algebraic-k-theory
110
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Quillen's K-theory and ring homomorphisms

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#algebraic-geometry #k-theory #algebraic-k-theory
172
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Is there a natural ring structure on $\operatorname{Pic}(\mathbb{CP}^1)$?

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#algebraic-geometry #complex-geometry #vector-bundles #riemann-surfaces #k-theory
100
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$d^3$ in the Atiyah-Hirzebruch spectral sequence for (twisted) $KO$

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#homology-cohomology #homological-algebra #k-theory
27
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Let $X$ be an element in $\mathbb{E}(A,B)$, and there is a homomorphism between B and C then we can define an element in $\mathbb{E}(A,C).$

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#k-theory
18
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If $(E, \varphi, F) \in D(A, B)$, then $(E, \varphi, F)$ is homotopic to the 0-module.

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#k-theory
68
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Existence of finite dimensional ample subspace

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#general-topology #vector-bundles #topological-vector-spaces #k-theory
26
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Geometric Resolutions of C* -Algebras

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#k-theory #topological-k-theory #algebraic-k-theory
124
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isomorphism between $K_1(A)$ and $K_0(SA)$.

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#operator-theory #operator-algebras #c-star-algebras #k-theory
54
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How to find the set of the unitization of suspension $C^*$ algebras

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#operator-theory #operator-algebras #c-star-algebras #k-theory
82
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Identification of $M_n(\tilde{SA})$,where $\tilde{SA} $ is the unitalization of suspension $C^*$-algebra

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

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