List questions from k-theory

Published on 25 Mar 2026 - 1:15

138

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Compute the $K$-theories of crossed products $K_0(C_0(\mathbb N\times G)\rtimes_r G)$ and $K_0(\ell^\infty(\mathbb N,C_0(G))\rtimes_r G)$

Published on 10 Jul 2019 - 2:18

74

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Let $h,h'$ be hermitian metric over vector space $V$, then grassmanian $G_n(V_h)\to G_n(V_{h'})$ is always continuous?

Published on 24 Mar 2026 - 23:49

47

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$C^m\to C^{m-1}$ projection map projecting out last factor inducing $G_n(C^{m-1})\to G_n(C^m)$?

Published on 24 Mar 2026 - 23:48

201

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Complex line bundles with connection can be parametrized by unitary character of fundamental group

Published on 25 Mar 2026 - 1:17

42

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the semigroup $D(\Bbb C)$

Published on 25 Mar 2026 - 1:14

102

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a unitary does not in general lift to a unitary

Published on 24 Mar 2026 - 23:45

120

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Equivalence of categories of coherent sheaves

Published on 25 Mar 2026 - 1:17

31

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the isomorphism of $D(B(H))$,where ,$H$ is an infinite dimensional inseparable Hilbert space.

Published on 25 Mar 2026 - 1:17

48

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a surjective group homomorphism between $K_0$ group to an abelian group

Published on 09 Aug 2019 - 13:07

180

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cone of a $C^*$-algebra

Published on 26 Aug 2019 - 13:50

100

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Functoriality of twisted K-theory

Published on 25 Mar 2026 - 1:16

212

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the $K_0$ group of von Neumann algebra factor of type $II_{\infty}$ and type $III$

Published on 03 Sep 2019 - 11:33

82

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Relation between $G$ bundle over free $G$ space $X$ and vector bundles over $X/G$ (Atiyah)

Published on 08 Sep 2019 - 5:07

239

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Notation in Serge Lang - Algebra

Published on 11 Sep 2019 - 8:49

List Question

K-theory functoriality understanding

Compute the $K$-theories of crossed products $K_0(C_0(\mathbb N\times G)\rtimes_r G)$ and $K_0(\ell^\infty(\mathbb N,C_0(G))\rtimes_r G)$

Let $h,h'$ be hermitian metric over vector space $V$, then grassmanian $G_n(V_h)\to G_n(V_{h'})$ is always continuous?

$C^m\to C^{m-1}$ projection map projecting out last factor inducing $G_n(C^{m-1})\to G_n(C^m)$?

Complex line bundles with connection can be parametrized by unitary character of fundamental group

the semigroup $D(\Bbb C)$

a unitary does not in general lift to a unitary

Equivalence of categories of coherent sheaves

the isomorphism of $D(B(H))$,where ,$H$ is an infinite dimensional inseparable Hilbert space.

a surjective group homomorphism between $K_0$ group to an abelian group

cone of a $C^*$-algebra

Functoriality of twisted K-theory

the $K_0$ group of von Neumann algebra factor of type $II_{\infty}$ and type $III$

Relation between $G$ bundle over free $G$ space $X$ and vector bundles over $X/G$ (Atiyah)

Notation in Serge Lang - Algebra

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