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15
111
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Elements in $K_0(A)$

Published on
#k-theory
60
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Why shift operator is not homotopic to 1 ($K_1$-approach)?

Published on
#operator-algebras #fake-proofs #k-theory
129
Views

Excision sequence for $K_0$ in algebraic $K$-theory

Published on
#k-theory #algebraic-k-theory
71
Views

Show that $[u]_1$ belongs to $Im(K_1(\varphi))$ if and only if ...

Published on
#k-theory
48
Views

Is there a categorical way to see that $K_1(A)\twoheadrightarrow K_1(A/I)$ for a nilpotent ideal $I\subset A$?

Published on
#category-theory #k-theory #algebraic-k-theory
190
Views

Show that $K_n(\mathbb{T}A)$ is isomorphic to $K_n(A) \oplus K_{n+1} (A)$ for every positive integer n.

Published on
#exact-sequence #k-theory
210
Views

$ C_0(\mathbb{R}^2)$, $C(\mathbb{D})$, $C(\mathbb{T})$ and the index map

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#k-theory
77
Views

Identity element in the K-group

Published on
#algebraic-topology #vector-bundles #k-theory
67
Views

Proving $K_1(\mathcal{T})=0$ (is trivial)

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

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

Published on
#c-star-algebras #k-theory #topological-k-theory #algebraic-k-theory
125
Views

Chern-Weil theory in the cohomological Atiyah-Singer theorem

Published on
#differential-geometry #algebraic-topology #homology-cohomology #characteristic-classes #k-theory
54
Views

Is $St(n,R) \rightarrow St(n+1,R)$ injective?

Published on
#k-theory #algebraic-k-theory
92
Views

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

Published on
#c-star-algebras #k-theory #topological-k-theory
139
Views

$K_1(A)$ is countable when A is separable C*-algebra

Published on
#c-star-algebras #k-theory #topological-k-theory
81
Views

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

Published on
#operator-algebras #c-star-algebras #k-theory #topological-k-theory

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