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Miep
  • Member for 6 years, 3 months
  • Last seen more than 2 years ago
7 votes
2 answers
8k views

How to prove a quotient space is again compact and Hausdorff

3 votes
1 answer
139 views

Find $\alpha \in \mathbb{R}$ such that there exists a Lie algebra representation of $\mathfrak{sl}_2 (\mathbb{R})$ on $C^\infty(\mathbb{R})$

3 votes
1 answer
211 views

$ C_0(\mathbb{R}^2)$, $C(\mathbb{D})$, $C(\mathbb{T})$ and the index map

2 votes
1 answer
307 views

Equivalent representations

1 vote
2 answers
103 views

Normal subgroup and non-equivalent representations

1 vote
1 answer
162 views

Show that $G$ has four inequivalent 1-dimensional complex representations

1 vote
0 answers
175 views

Show that $\pi$ is isomorphic to a subrepresentation of the representation of $G$ on $C_2(X)$

1 vote
0 answers
155 views

$\text{Ind}^G_B \eta_B$ is an irreducible representation of $G$ if $\eta^2 \neq 1$

1 vote
1 answer
190 views

Show that $K_0(A)$ is a countable abelian group when $A$ is a separable $C^*$-algebra.

1 vote
1 answer
111 views

Elements in $K_0(A)$

1 vote
1 answer
71 views

Show that $[u]_1$ belongs to $Im(K_1(\varphi))$ if and only if ...

1 vote
1 answer
190 views

Show that $K_n(\mathbb{T}A)$ is isomorphic to $K_n(A) \oplus K_{n+1} (A)$ for every positive integer n.

1 vote
1 answer
135 views

Matrices and Banach algebras

1 vote
3 answers
79 views

Restriction mapping and banach algebra

1 vote
2 answers
710 views

Spectrum in a Banach Algebra

1 vote
1 answer
134 views

Convex hull and projective matrices

1 vote
1 answer
84 views

Dirac functions, inner products and $T \in \mathcal{L}(G)$

1 vote
1 answer
204 views

In no wff are the symbols $\neg$ and $)$ next to each other

1 vote
1 answer
165 views

Trace, dimension and equivalence in $M_n(\mathbb{C})$

1 vote
0 answers
50 views

Show that $\mathcal{D}(\mathbb{C}) \cong \mathbb{Z}^+$

0 votes
0 answers
59 views

$C_0(X)$ isomorphic to $C_0(X_1) \oplus C_0(X_2)$ when $X=X_1 \cup X_2$ for X locally compact Hausdorff

0 votes
1 answer
223 views

Tautologies and valuations in a first order language

0 votes
1 answer
67 views

Example of a unital C* algebra where $conv(proj(\mathcal{A}))$ is not dense

0 votes
1 answer
70 views

Definite state on $\mathcal{A}[x]$

0 votes
1 answer
39 views

Limit in $\mathbb{Z} / P^{2} \to \mathbb{Z} / P $

0 votes
0 answers
47 views

Show that given a valuation $v$ there is a unique functions $v^*: Formula(\mathcal{L}) \to \lbrace 0,1 \rbrace$

0 votes
1 answer
114 views

Existence of a one-dimensional representation

0 votes
1 answer
199 views

Find the character table of $\mathbb{Z} / 3 \mathbb{Z} \times \mathbb{Z} / 2 \mathbb{Z} $

0 votes
1 answer
203 views

Show that the trivial representation of G occurs exactly once in $\pi_X$

0 votes
1 answer
936 views

How to prove a quotient space is homeomorphic to the one-point compactification