Question

Are elements of a $C^*$-Algebra strictly positive iff their spectrum is strictly positive?

score 1.5k · Answer 1 · 2015-04-26 17:09:22

1.5k

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Are elements of a $C^*$-Algebra strictly positive iff their spectrum is strictly positive?

Published on 26 Apr 2015 - 17:09

score 1.8k · Answer 2 · 2026-03-28 19:39:56

1.8k

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Can $ {L^{1}}(G) $ be a $ C^{*} $-algebra?

Published on 28 Mar 2026 - 19:39

score 239 · Answer 3 · 2026-04-03 13:40:06

239

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question about a proof on Murphy's book about $C^*$-algebras

Published on 03 Apr 2026 - 13:40

score 36 · Answer 4 · 2026-03-28 19:39:49

36

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Applications of $C^\ast$ algebras in differential topology

Published on 28 Mar 2026 - 19:39

score 105 · Answer 5 · 2026-03-28 22:31:12

105

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Inclusion of representations: $\pi_1(A)^{''}\subseteq \pi_2(A)^{''} \Rightarrow \pi_1(A)\subseteq \pi_2(A)$?

Published on 28 Mar 2026 - 22:31

score 366 · Answer 6 · 2026-03-28 22:35:46

366

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Closed unit ball of positive bounded operator space and its extreme point

Published on 28 Mar 2026 - 22:35

score 701 · Answer 7 · 2026-03-28 21:51:28

701

Views

Convergence in strong operator topology and norm topology

Published on 28 Mar 2026 - 21:51

score 396 · Answer 8 · 2026-04-02 21:49:27

396

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A continuous field of C* algebra, $C(\mathbb T)\rtimes\mathbb Z_2$

Published on 02 Apr 2026 - 21:49

score 254 · Answer 9 · 2026-03-26 03:00:34

254

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Examples of $C^*$-algebras in Noncommutative Geometry from A. Connes

Published on 26 Mar 2026 - 3:00

score 192 · Answer 10 · 2015-05-02 19:13:51

192

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countable unitary element in a separable C*-algebra

Published on 02 May 2015 - 19:13

score 182 · Answer 11 · 2015-05-03 13:51:43

182

Views

Show that $C(S^n)$ is the universal $C^*$-Algebra of selfadjoint, commutative $x_0,\ldots,x_n$ with $\sum x_i^2 = 1$

Published on 03 May 2015 - 13:51

score 173 · Answer 12 · 2026-04-02 23:30:00

173

Views

Irreducible unitary representations of $ \Bbb{R}^{2} \rtimes_{\alpha} \Bbb{R} $.

Published on 02 Apr 2026 - 23:30

score 111 · Answer 13 · 2026-04-03 13:32:30

111

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What deos $\mathbb{C}I$ mean?

Published on 03 Apr 2026 - 13:32

score 197 · Answer 14 · 2015-05-06 07:31:53

197

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Unitary element in a C*-algebra

Published on 06 May 2015 - 7:31

score 284 · Answer 15 · 2026-03-28 19:39:52

284

Views

positive linear maps of $c^*$-algebras are bounded

Published on 28 Mar 2026 - 19:39

List Question

Are elements of a $C^*$-Algebra strictly positive iff their spectrum is strictly positive?

Can $ {L^{1}}(G) $ be a $ C^{*} $-algebra?

question about a proof on Murphy's book about $C^*$-algebras

Applications of $C^\ast$ algebras in differential topology

Inclusion of representations: $\pi_1(A)^{''}\subseteq \pi_2(A)^{''} \Rightarrow \pi_1(A)\subseteq \pi_2(A)$?

Closed unit ball of positive bounded operator space and its extreme point

Convergence in strong operator topology and norm topology

A continuous field of C* algebra, $C(\mathbb T)\rtimes\mathbb Z_2$

Examples of $C^*$-algebras in Noncommutative Geometry from A. Connes

countable unitary element in a separable C*-algebra

Show that $C(S^n)$ is the universal $C^*$-Algebra of selfadjoint, commutative $x_0,\ldots,x_n$ with $\sum x_i^2 = 1$

Irreducible unitary representations of $ \Bbb{R}^{2} \rtimes_{\alpha} \Bbb{R} $.

What deos $\mathbb{C}I$ mean?

Unitary element in a C*-algebra

positive linear maps of $c^*$-algebras are bounded

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