Question

Murray-von Neumann equivalence of projections is a transitive relation

score 476 · Answer 1 · 2026-03-30 01:29:47

476

Views

Murray-von Neumann equivalence of projections is a transitive relation

Published on 30 Mar 2026 - 1:29

score 54 · Answer 2 · 2020-09-07 22:07:11

54

Views

$uu^* \leq vv^* \implies \exists w : u = vw$

Published on 07 Sep 2020 - 22:07

score 51 · Answer 3 · 2020-09-07 22:32:40

51

Views

The operators $u$ and $|u^*|$ have the same range.

Published on 07 Sep 2020 - 22:32

score 200 · Answer 4 · 2026-03-30 11:17:10

200

Views

Every von Neumann algebra is the dual of a Banach space - Murphy's proof

Published on 30 Mar 2026 - 11:17

score 205 · Answer 5 · 2026-02-23 06:37:58

205

Views

Show strong topology on the closed unit ball is metrizable

Published on 23 Feb 2026 - 6:37

score 184 · Answer 6 · 2026-03-30 11:22:22

184

Views

$A$ is a maximally abelian von Neumann algebra iff $A=A'$

Published on 30 Mar 2026 - 11:22

score 106 · Answer 7 · 2026-03-30 11:17:04

106

Views

Strong closure of an abelian $*$-algebra is abelian.

Published on 30 Mar 2026 - 11:17

score 72 · Answer 8 · 2020-09-12 20:47:05

72

Views

If $\varphi: A \to B(H)$ is a representation, then $\Vert \varphi(a) \Vert = \Vert \varphi_K(a) \Vert$ (subrepresentation)

Published on 12 Sep 2020 - 20:47

score 113 · Answer 9 · 2026-03-29 19:10:10

113

Views

Square of an approximate unit is an approximate unit

Published on 29 Mar 2026 - 19:10

score 154 · Answer 10 · 2020-09-14 05:51:43

154

Views

Question about polar decomposition. Is the book wrong?

Published on 14 Sep 2020 - 5:51

score 51 · Answer 11 · 2020-09-16 08:03:53

For a C*-algebra $A$ and arbitrary $x\in A$, is $\overline{x^*Ax}$ and $\overline{x^*xA x^*x}$ the same algebra?

score 168 · Answer 12 · 2020-09-17 02:59:05

168

Views

How to prove that every hereditary Csubalgebra of a non-elementary simple Calgebra has infinite dimension?

Published on 17 Sep 2020 - 2:59

score 33 · Answer 13 · 2020-09-17 12:31:26

33

Views

If $I$ is a prime ideal in a $C^*$-algebra $A$ and $S_1AS_2 \subseteq I$, then either $S_1 \subseteq I$ or $S_2 \subseteq I$

Published on 17 Sep 2020 - 12:31

score 206 · Answer 14 · 2020-09-18 08:47:36

206

Views

Kadison's transitivity theorem application in a proof (Murphy's $"C^*$-algebras and operator theory")

Published on 18 Sep 2020 - 8:47

score 44 · Answer 15 · 2026-04-08 11:34:36

44

Views

$*$-homomorphism induced by a c.p.c order zero map

Published on 08 Apr 2026 - 11:34

List Question

Murray-von Neumann equivalence of projections is a transitive relation

$uu^* \leq vv^* \implies \exists w : u = vw$

The operators $u$ and $|u^*|$ have the same range.

Every von Neumann algebra is the dual of a Banach space - Murphy's proof

Show strong topology on the closed unit ball is metrizable

$A$ is a maximally abelian von Neumann algebra iff $A=A'$

Strong closure of an abelian $*$-algebra is abelian.

If $\varphi: A \to B(H)$ is a representation, then $\Vert \varphi(a) \Vert = \Vert \varphi_K(a) \Vert$ (subrepresentation)

Square of an approximate unit is an approximate unit

Question about polar decomposition. Is the book wrong?

For a C-algebra $A$ and arbitrary $x\in A$, is $\overline{x^Ax}$ and $\overline{x^xA x^x}$ the same algebra?

How to prove that every hereditary Csubalgebra of a non-elementary simple Calgebra has infinite dimension?

If $I$ is a prime ideal in a $C^*$-algebra $A$ and $S_1AS_2 \subseteq I$, then either $S_1 \subseteq I$ or $S_2 \subseteq I$

Kadison's transitivity theorem application in a proof (Murphy's $"C^*$-algebras and operator theory")

$*$-homomorphism induced by a c.p.c order zero map

Trending Questions

Popular # Hahtags

Popular Questions