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classifying space of a category

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#category-theory #simplicial-stuff #classifying-spaces #k-theory #algebraic-k-theory
451
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Examples of Waldhausen categories.

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#category-theory #model-categories #algebraic-k-theory
77
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How to construct the map relating topological and algebraic $K$ - theory ?.

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#algebraic-geometry #topological-k-theory #algebraic-k-theory
69
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The necessity of defining the stable equivalence in the construction of the Grothendieck group $K_0$

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#operator-theory #operator-algebras #algebraic-k-theory #grothendieck-construction
430
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$K_0$ group of Direct Sum of C*-Algebras

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#c-star-algebras #k-theory #algebraic-k-theory
93
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What is the motivation of studying $P[A]$ in operator K-theory?

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#operator-algebras #topological-k-theory #k-theory #algebraic-k-theory
388
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Finitely generated projective modules form exact category

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#reference-request #category-theory #algebraic-k-theory
99
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Algebraic K-theory: induced maps

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#abstract-algebra #k-theory #algebraic-k-theory
69
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Rings with finitely many finitely generated free modules, up to isomorphism

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#ring-theory #noncommutative-algebra #algebraic-k-theory
264
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Induced map on $K_{1}$-group

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#c-star-algebras #topological-k-theory #algebraic-k-theory #k-theory
505
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Subgroup of a virtually cyclic group

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#group-theory #geometric-group-theory #algebraic-k-theory
111
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K-theory - dependence of algebraic structure: What is the K-theory of a direct product?

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#abstract-algebra #algebraic-geometry #algebraic-k-theory
128
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Non-finitely generated module isomorphism theorems

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#abstract-algebra #modules #algebraic-k-theory
12.1k
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Are there open problems in Linear Algebra?

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#linear-algebra #matrices #soft-question #open-problem #algebraic-k-theory
217
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When is $K_0(i)$ an injection?

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#commutative-algebra #category-theory #abelian-groups #abelian-categories #algebraic-k-theory

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