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The complex topological $K$-theory spectrum is not an $H\mathbb{Z}$-module.

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#algebraic-topology #k-theory #topological-k-theory
38
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An isomorphism of vector bundles over a manifold, $K(X)$,

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#reference-request #algebraic-topology #differential-topology #vector-bundles #k-theory
77
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K theory of projectionless C*-algebras

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#operator-algebras #c-star-algebras #k-theory
108
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K- theory of stably projectionless C* algebras

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#operator-algebras #c-star-algebras #k-theory
45
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$K_1(\mathbb{Z})$ is covered by diagonal matrices with only $\pm 1$ entries

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#linear-algebra #abstract-algebra #matrices #k-theory #algebraic-k-theory
401
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$C^*$ algebra of compact operators as a direct limit of matrix algebras?

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#abstract-algebra #operator-theory #compact-operators #k-theory
81
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Induced $K$-theory maps between $C^*$ algebras.

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#functional-analysis #algebraic-topology #operator-theory #operator-algebras #k-theory
112
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Understanding the map from $K_0(A)$ to homotopy class of maps,

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#algebraic-topology #operator-algebras #k-theory #topological-k-theory
209
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Special elements in the $C^*$ algebra $A \otimes \mathcal{K}$.

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#abstract-algebra #functional-analysis #operator-theory #operator-algebras #k-theory
88
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What is the support of a vector bundle complex?

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#vector-bundles #k-theory
131
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$K$-Theory of operators I, Higson notes

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#operator-algebras #k-theory #topological-k-theory
79
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$K$ Theory of Operators II, Higson's notes

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#algebraic-topology #operator-theory #operator-algebras #k-theory
47
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K Theory of $C^*$ algebras I, Higson's notes

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#operator-algebras #k-theory #topological-k-theory #algebraic-k-theory
71
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$KK$-groups definitions

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#operator-theory #definition #operator-algebras #k-theory
261
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$K$ theory of $C^*$ algebra is different to algebraic $K$ Theory?

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#operator-theory #operator-algebras #k-theory #topological-k-theory #algebraic-k-theory

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