Question

Some operators on $\ell^2$ of a discrete group: are they a von Neumann algebra?

score 349 · Answer 1 · 2026-03-30 07:40:39

349

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Some operators on $\ell^2$ of a discrete group: are they a von Neumann algebra?

Published on 30 Mar 2026 - 7:40

score 183 · Answer 2 · 2012-06-26 20:49:54

183

Views

For each $x$ in a Hilbert $A$-module $X$, there exists a unique $y\in X$ such that $x=y\langle y,y \rangle $.

Published on 26 Jun 2012 - 20:49

score 113 · Answer 3 · 2012-07-03 02:32:47

113

Views

Prove $A\oplus X$ is Hilbert $A$-module where $X$ is Hilbert $A$-module and $A$ is a $C^*$-algebra.

Published on 03 Jul 2012 - 2:32

score 1k · Answer 4 · 2012-07-05 00:49:27

1k

Views

Unitisation of $C^{*}$-algebras via double centralizers

Published on 05 Jul 2012 - 0:49

score 302 · Answer 5 · 2026-03-31 15:05:58

302

Views

When is a Banach Algebra stellar?

Published on 31 Mar 2026 - 15:05

score 163 · Answer 6 · 2012-07-30 20:39:26

163

Views

Why need two directions to make $\sim_{\rm wa}$ an equivalence relation?

Published on 30 Jul 2012 - 20:39

score 475 · Answer 7 · 2012-08-04 21:28:24

475

Views

What exactly is meant by a semicontinuous, semifinite trace on a C* algebra?

Published on 04 Aug 2012 - 21:28

score 713 · Answer 8 · 2012-08-09 03:01:09

713

Views

Spectrum of an element in sub-algebra: $\sigma_A(b)\setminus \{0\}\subseteq \sigma_B(b) \setminus \{0\}$

Published on 09 Aug 2012 - 3:01

score 247 · Answer 9 · 2012-08-09 05:03:17

247

Views

If a unital strictly continuous homomorphism $M(A) \to M(B)$ is injective on $A$, is it injective?

Published on 09 Aug 2012 - 5:03

score 334 · Answer 10 · 2026-03-30 07:37:49

334

Views

Minimal projections vs maximal left ideals

Published on 30 Mar 2026 - 7:37

score 321 · Answer 11 · 2012-08-17 04:07:34

321

Views

Does inversion reverse order for positive elements in a unital C* algebra?

Published on 17 Aug 2012 - 4:07

score 176 · Answer 12 · 2026-02-24 05:30:23

176

Views

Need help to understand a proof using functional calculus.

Published on 24 Feb 2026 - 5:30

score 188 · Answer 13 · 2012-09-04 17:10:59

188

Views

A question about ideals in operator algebras

Published on 04 Sep 2012 - 17:10

score 71 · Answer 14 · 2012-09-06 13:52:31

71

Views

Quotients of the CAR algebra

Published on 06 Sep 2012 - 13:52

score 186 · Answer 15 · 2026-03-30 07:41:28

186

Views

How can it be proven that the set of all states is a convex set for the W*- algebra?

Published on 30 Mar 2026 - 7:41

List Question

Some operators on $\ell^2$ of a discrete group: are they a von Neumann algebra?

For each $x$ in a Hilbert $A$-module $X$, there exists a unique $y\in X$ such that $x=y\langle y,y \rangle $.

Prove $A\oplus X$ is Hilbert $A$-module where $X$ is Hilbert $A$-module and $A$ is a $C^*$-algebra.

Unitisation of $C^{*}$-algebras via double centralizers

When is a Banach Algebra stellar?

Why need two directions to make $\sim_{\rm wa}$ an equivalence relation?

What exactly is meant by a semicontinuous, semifinite trace on a C* algebra?

Spectrum of an element in sub-algebra: $\sigma_A(b)\setminus \{0\}\subseteq \sigma_B(b) \setminus \{0\}$

If a unital strictly continuous homomorphism $M(A) \to M(B)$ is injective on $A$, is it injective?

Minimal projections vs maximal left ideals

Does inversion reverse order for positive elements in a unital C* algebra?

Need help to understand a proof using functional calculus.

A question about ideals in operator algebras

Quotients of the CAR algebra

How can it be proven that the set of all states is a convex set for the W*- algebra?

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