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15
215
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Classifying Spaces of Matrix Lie Groups

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#algebraic-topology #lie-groups #k-theory #classifying-spaces #eilenberg-maclane-spaces
105
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K Group Determined by Chern Classes

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#algebraic-topology #vector-bundles #characteristic-classes #k-theory #topological-k-theory
26
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The Elliot invariant and the opposite algebra

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#operator-algebras #k-theory
76
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Unitary element in $M_2(A)$

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#functional-analysis #operator-algebras #c-star-algebras #exact-sequence #k-theory
63
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Consider inductive sequence of $C^\ast$-algebra $A_1 \overset{φ_1}→A_2\overset{φ_2}→···$ inductive limit $(A,(μ_n)_n∈ℕ)$. How is $K_{0}$ continous?

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#functional-analysis #operator-algebras #k-theory
59
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Show that $δ_1([u]_1) = [e]_0−[f]_0$, where $e, f∈M_2(C_0(ℝ^2)^∼)$.

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#complex-analysis #analysis #operator-algebras #c-star-algebras #k-theory
41
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Show that there is a natural number n and a projection ∈(̃ ) such that =[]0−[()]0 and ̃ ()∼ℎ((̃ )) .

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#real-analysis #complex-analysis #operator-algebras #c-star-algebras #k-theory
39
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Reference KK-theory is stable or alternative proof verification?

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#operator-theory #c-star-algebras #k-theory
66
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calculate $K_0(C(Z_n))$ and $K_1(C(Z_n)$)

Published on
#circles #operator-algebras #c-star-algebras #k-theory
62
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Connes' long exact sequence in cyclic homology

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#abstract-algebra #homology-cohomology #k-theory
121
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Reduced real connective K theory of a point

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#algebraic-topology #homology-cohomology #vector-bundles #k-theory #topological-k-theory
45
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Strictly positive compact operator commuting with a given Fredholm operator

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#functional-analysis #compact-operators #k-theory #unbounded-operators
36
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Projective module base change

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#vector-bundles #projective-module #k-theory
79
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Representation of topological K-theory via Brown representability

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#general-topology #algebraic-topology #homotopy-theory #k-theory #topological-k-theory
126
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Functoriality of the one-point compactification

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#general-topology #k-theory

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