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 47 · Answer 1 · 2026-04-15 03:56:18

47

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 15 Apr 2026 - 3:56

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 46 · Answer 3 · 2026-04-13 23:21:27

46

Views

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

Published on 13 Apr 2026 - 23:21

score 106 · Answer 4 · 2026-05-10 22:10:13

106

Views

Is the preimage of a Hopf subalgebra a Hopf subalgebra?

Published on 10 May 2026 - 22:10

score 65 · Answer 5 · 2026-04-14 18:55:24

65

Views

Smooth vectors for the torus action on the irrational rotation algebra

Published on 14 Apr 2026 - 18:55

score 40 · Answer 6 · 2026-04-15 07:54:24

40

Views

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

Published on 15 Apr 2026 - 7:54

score 50 · Answer 7 · 2026-04-13 03:29:23

50

Views

Question Regarding the Eigenvalues of Matrix Commutators

Published on 13 Apr 2026 - 3:29

score 60 · Answer 8 · 2026-04-16 13:20:38

60

Views

Vector-valued differential forms and cyclic homology

Published on 16 Apr 2026 - 13:20

score 79 · Answer 9 · 2026-04-13 03:33:19

79

Views

Lattices and noncommutative algebras in noncommutative geometry

Published on 13 Apr 2026 - 3:33

score 35 · Answer 10 · 2026-04-13 16:25:54

35

Views

Definition of Fredholm modules

Published on 13 Apr 2026 - 16:25

score 32 · Answer 11 · 2026-05-07 13:00:26

32

Views

Lie algebra cohomology of formal non-commutative vector fields

Published on 07 May 2026 - 13:00

score 1.6k · Answer 12 · 2026-04-12 17:38:25

1.6k

Views

There is only one interesting measure space

Published on 12 Apr 2026 - 17:38

score 591 · Answer 13 · 2026-04-11 00:00:58

591

Views

pullback of global sections with respect to an automorphism of schemes

Published on 11 Apr 2026 - 0:00

score 131 · Answer 14 · 2026-04-13 20:38:44

131

Views

NCG with all noncommutativity in a nilpotent ideal

Published on 13 Apr 2026 - 20:38

score 912 · Answer 15 · 2026-05-10 17:16:48

912

Views

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

Published on 10 May 2026 - 17:16

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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