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Help with a problem in K-theory/C- algebras.

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#algebraic-topology #k-theory #topological-k-theory #algebraic-k-theory #winding-number
171
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What are the K groups of $X_n$, the wedge sum of $n$ circles at a single point?

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#general-topology #algebraic-topology #k-theory #topological-k-theory #algebraic-k-theory
100
Views

Does $K$-theoretical Atiyah-Singer index formula hold for non-compact manifolds?

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#differential-geometry #topological-k-theory
170
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Interaction between reduced suspension and quotients

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#general-topology #algebraic-topology #topological-k-theory
62
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Univesal Coefficient Theorem for $C^*$-algebras

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#operator-theory #operator-algebras #c-star-algebras #k-theory #topological-k-theory
70
Views

Is Atiyah's periodicity Theorem related to splitting principle?

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#algebraic-topology #complex-geometry #vector-bundles #topological-k-theory
67
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Proving $K_1(\mathcal{T})=0$ (is trivial)

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#c-star-algebras #k-theory #topological-k-theory #algebraic-k-theory
89
Views

The generator of $K_0(C(\partial(]0,1[^2)))$ and $K_1(C(\partial(]0,1[^2)))$

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#c-star-algebras #k-theory #topological-k-theory #algebraic-k-theory
100
Views

Topological K-theory and characteristic classes of module bundles

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#fiber-bundles #projective-module #characteristic-classes #topological-k-theory
91
Views

$K_0(C_0(X, A))$ , when X is compact and contractible.

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#c-star-algebras #k-theory #topological-k-theory
138
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$K_1(A)$ is countable when A is separable C*-algebra

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#c-star-algebras #k-theory #topological-k-theory
80
Views

Ideas for calculating $K_0(l_{\infty})$ and $K_1(l_{\infty})$.

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#operator-algebras #c-star-algebras #k-theory #topological-k-theory
91
Views

$K_0(C(\mathbb{T}^{n})) \cong \mathbb{Z}^{2^{n-1}}$

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#operator-algebras #k-theory #topological-k-theory
38
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Equivalence of families indexes of Fredholm operators

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#functional-analysis #reference-request #vector-bundles #k-theory #topological-k-theory
209
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Tangent bundle of the incidence variety and its Chern class

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#algebraic-geometry #algebraic-topology #intersection-theory #k-theory #topological-k-theory

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