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15
26
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Decomposition of $K_0$ with Whitehead group

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#abstract-algebra #exact-sequence #k-theory
45
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Clarifying how we can identify $SK_1(R)$ with set of path components

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#abstract-algebra #general-topology #k-theory #algebraic-k-theory
215
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Rings and categories with zero Grothendieck group

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#ring-theory #category-theory #k-theory #algebraic-k-theory
47
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Commuting Elements in Tensor Products of C*-Algebras

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#tensor-products #c-star-algebras #k-theory
163
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KO theory v.s. ko theory

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#algebraic-topology #k-theory #topological-k-theory #cobordism
212
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$K_0(R)$ is generated by $[R]$?

Published on
#abstract-algebra #commutative-algebra #k-theory
89
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Problems on exercise 7.G in the book "K-Theory and C*-Algebras"

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#tensor-products #c-star-algebras #k-theory
108
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Relative $K$-theory, definition

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#vector-bundles #k-theory #topological-k-theory
152
Views

Defining Bott Class by relative $K$-theory

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#algebraic-topology #differential-topology #k-theory #topological-k-theory
21
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Given a map $X \to \text{GL}_2(\mathbb{R})$ how do I determine a flat connection on this Riemann surface?

Published on
#vector-bundles #connections #k-theory
127
Views

Two types of Grothendieck groups for rings

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#ring-theory #homological-algebra #k-theory
291
Views

Grothendieck group of tensor products

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#ring-theory #modules #k-theory
106
Views

Operator K-theory and Topological K-theory

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#operator-theory #operator-algebras #vector-bundles #k-theory #topological-k-theory
56
Views

A doubt from Atiyah's K-Theory

Published on
#k-theory
382
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How to show that this short exact sequence does not split

Published on
#functional-analysis #c-star-algebras #k-theory

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