Question

Bott Periodicity for C*-Algebras as weak homotopy equivalence

score 92 · Answer 1 · 2026-04-01 13:31:52

92

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Bott Periodicity for C*-Algebras as weak homotopy equivalence

Published on 01 Apr 2026 - 13:31

score 171 · Answer 2 · 2026-03-28 00:05:52

171

Views

State Space of Finite-Dimensional Abelian C*-Algebras

Published on 28 Mar 2026 - 0:05

score 237 · Answer 3 · 2026-04-01 15:02:54

237

Views

$\operatorname{sp}(\varphi(a))=\operatorname{sp}(a)$ for an injective unital $^{}$-homomorphism of $C^{}$-algebras

Published on 01 Apr 2026 - 15:02

score 204 · Answer 4 · 2017-02-08 22:55:04

204

Views

Is it the C*-norm in disguise? [Yes, within the realm of commutativity.]

Published on 08 Feb 2017 - 22:55

score 143 · Answer 5 · 2017-02-12 16:54:14

143

Views

Why are approximate units and roots used in this proof?

Published on 12 Feb 2017 - 16:54

score 348 · Answer 6 · 2026-03-28 01:12:46

348

Views

Viewing a UHF-algebra by an infinite tensor-product

Published on 28 Mar 2026 - 1:12

score 130 · Answer 7 · 2026-04-01 14:54:19

130

Views

Why is stable finiteness neat?

Published on 01 Apr 2026 - 14:54

score 66 · Answer 8 · 2026-03-26 04:29:38

66

Views

Identifying $C_{\lambda}^*(\Gamma)$ with $C(\hat{\Gamma})$ using Pontryagin Duality

Published on 26 Mar 2026 - 4:29

score 69 · Answer 9 · 2026-04-01 16:25:04

69

Views

$^*$-homomorphism $\pi_1 : M_2(A)\to B(K_1)$ is induced by $\pi : A\to B(K)$

Published on 01 Apr 2026 - 16:25

score 67 · Answer 10 · 2026-04-01 16:20:59

67

Views

Show that $\lambda^{\phi}: \Gamma \to \mathbb{B}(\cal{l}^2_{\phi}(\Gamma)$ is an unitary representation

Published on 01 Apr 2026 - 16:20

score 116 · Answer 11 · 2026-04-01 16:25:07

116

Views

Show that the GNS space of $C^*(\Gamma)$ with respect to $\phi$ is $l^2_{\phi}(\Gamma)$

Published on 01 Apr 2026 - 16:25

score 154 · Answer 12 · 2026-03-28 01:06:50

154

Views

CAR-algebra contains a unitary with full spectrum

Published on 28 Mar 2026 - 1:06

score 222 · Answer 13 · 2026-03-26 13:02:13

222

Views

Every Hausdorff-compactification of the reals corresponds to a C*-subalgebra of bounded continuous functions on $\mathbb{R}$

Published on 26 Mar 2026 - 13:02

score 357 · Answer 14 · 2026-03-28 01:48:49

357

Views

How to concretely find the characters and pure states of $L^\infty$?

Published on 28 Mar 2026 - 1:48

score 261 · Answer 15 · 2017-03-15 14:07:55

261

Views

How do you prove that a commutative C* algebra has no nontrivial nilpotents?

Published on 15 Mar 2017 - 14:07

List Question

Bott Periodicity for C*-Algebras as weak homotopy equivalence

State Space of Finite-Dimensional Abelian C*-Algebras

$\operatorname{sp}(\varphi(a))=\operatorname{sp}(a)$ for an injective unital $^{}$-homomorphism of $C^{}$-algebras

Is it the C*-norm in disguise? [Yes, within the realm of commutativity.]

Why are approximate units and roots used in this proof?

Viewing a UHF-algebra by an infinite tensor-product

Why is stable finiteness neat?

Identifying $C_{\lambda}^*(\Gamma)$ with $C(\hat{\Gamma})$ using Pontryagin Duality

$^*$-homomorphism $\pi_1 : M_2(A)\to B(K_1)$ is induced by $\pi : A\to B(K)$

Show that $\lambda^{\phi}: \Gamma \to \mathbb{B}(\cal{l}^2_{\phi}(\Gamma)$ is an unitary representation

Show that the GNS space of $C^*(\Gamma)$ with respect to $\phi$ is $l^2_{\phi}(\Gamma)$

CAR-algebra contains a unitary with full spectrum

Every Hausdorff-compactification of the reals corresponds to a C*-subalgebra of bounded continuous functions on $\mathbb{R}$

How to concretely find the characters and pure states of $L^\infty$?

How do you prove that a commutative C* algebra has no nontrivial nilpotents?

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