Question

Are there observables $X_1,\ldots,X_m$ and a state $\rho$ in a Hilbert space $H$ of dimension $n$. Prove that rank$(\text{tr}\ \rho X_iX_j))\le n^2$

score 44 · Answer 1 · 2023-04-14 13:33:57

44

Views

Are there observables $X_1,\ldots,X_m$ and a state $\rho$ in a Hilbert space $H$ of dimension $n$. Prove that rank$(\text{tr}\ \rho X_iX_j))\le n^2$

Published on 14 Apr 2023 - 13:33

score 35 · Answer 2 · 2026-03-25 13:55:30

35

Views

Concerning the q-deformations of semisimple Lie groups

Published on 25 Mar 2026 - 13:55

score 43 · Answer 3 · 2023-05-08 12:43:50

43

Views

Prove that the subalgebra of functions that identify two points and $2\times 2$ matrices are the same.

Published on 08 May 2023 - 12:43

score 104 · Answer 4 · 2023-08-17 11:01:03

104

Views

Is the preimage of a Hopf subalgebra a Hopf subalgebra?

Published on 17 Aug 2023 - 11:01

score 62 · Answer 5 · 2023-09-01 20:47:53

62

Views

Smooth vectors for the torus action on the irrational rotation algebra

Published on 01 Sep 2023 - 20:47

score 38 · Answer 6 · 2026-03-25 14:36:40

38

Views

The map $C^\infty(M,U(A_F))\to C^\infty(M,U(A_F)/\mathfrak{H}(F))$ is an homomorphism.

Published on 25 Mar 2026 - 14:36

score 47 · Answer 7 · 2023-09-23 01:19:55

47

Views

Question Regarding the Eigenvalues of Matrix Commutators

Published on 23 Sep 2023 - 1:19

score 57 · Answer 8 · 2023-10-07 00:39:58

57

Views

Vector-valued differential forms and cyclic homology

Published on 07 Oct 2023 - 0:39

score 76 · Answer 9 · 2023-10-16 08:09:59

76

Views

Lattices and noncommutative algebras in noncommutative geometry

Published on 16 Oct 2023 - 8:09

score 31 · Answer 10 · 2024-03-18 14:08:09

31

Views

Definition of Fredholm modules

Published on 18 Mar 2024 - 14:08

score 30 · Answer 11 · 2026-02-23 04:40:31

30

Views

Lie algebra cohomology of formal non-commutative vector fields

Published on 23 Feb 2026 - 4:40

score 1.6k · Answer 12 · 2015-02-04 23:49:12

1.6k

Views

There is only one interesting measure space

Published on 04 Feb 2015 - 23:49

score 588 · Answer 13 · 2015-02-06 11:39:21

588

Views

pullback of global sections with respect to an automorphism of schemes

Published on 06 Feb 2015 - 11:39

score 128 · Answer 14 · 2015-03-31 22:21:51

128

Views

NCG with all noncommutativity in a nilpotent ideal

Published on 31 Mar 2015 - 22:21

score 910 · Answer 15 · 2015-04-12 17:19:18

910

Views

Reference for proof of Hochschild–Kostant–Rosenberg for Hochschild cohomology

Published on 12 Apr 2015 - 17:19

List Question

Are there observables $X_1,\ldots,X_m$ and a state $\rho$ in a Hilbert space $H$ of dimension $n$. Prove that rank$(\text{tr}\ \rho X_iX_j))\le n^2$

Concerning the q-deformations of semisimple Lie groups

Prove that the subalgebra of functions that identify two points and $2\times 2$ matrices are the same.

Is the preimage of a Hopf subalgebra a Hopf subalgebra?

Smooth vectors for the torus action on the irrational rotation algebra

The map $C^\infty(M,U(A_F))\to C^\infty(M,U(A_F)/\mathfrak{H}(F))$ is an homomorphism.

Question Regarding the Eigenvalues of Matrix Commutators

Vector-valued differential forms and cyclic homology

Lattices and noncommutative algebras in noncommutative geometry

Definition of Fredholm modules

Lie algebra cohomology of formal non-commutative vector fields

There is only one interesting measure space

pullback of global sections with respect to an automorphism of schemes

NCG with all noncommutativity in a nilpotent ideal

Reference for proof of Hochschild–Kostant–Rosenberg for Hochschild cohomology

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