List questions from c-star-algebras

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Show that $L^{\infty}(\Omega,\mu)$ is a maximal abelian subalgebra of $B(L^{2}(\Omega,\mu))$

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153

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Trivial K-theory implies trivial K-theory of hereditary corners?

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Decomposing a representation of a C$^{*}$-algebra into a direct sum of irreducible ones

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von Neumann algebra

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Intuition behind unitary equivalence

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An iff condition for the existence of a $\Gamma$- invariant sub-algebra of $C(X)$

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318

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Definition of inner automorphism on operator algebras

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185

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Clarification Concerning The Irrational Rotation Algebra in Davidson's Book

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145

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to find the spectral measure $E : M_{\phi} \to B(H)$.

Published on 12 Mar 2018 - 12:06

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Show that a closed self-adjoint subalgebra of a $C^$-algebra is also a $C^$-algebra.

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Showing that an injective $^$-homomorphism between two $C^$-algebras is isometric.

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113

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Symmetric C* property

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Is it true that $|x^2|=|x|^2$ for a normal $x$ in a $C^*$-algebra?

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C$^*$-algebras: When is there equality in the triangle inequality?

Published on 25 Mar 2026 - 0:01

List Question

showing that $|u|$ is invertible whenever $u$ is in a C* algebra

Show that $L^{\infty}(\Omega,\mu)$ is a maximal abelian subalgebra of $B(L^{2}(\Omega,\mu))$

Trivial K-theory implies trivial K-theory of hereditary corners?

Decomposing a representation of a C$^{*}$-algebra into a direct sum of irreducible ones

von Neumann algebra

Intuition behind unitary equivalence

An iff condition for the existence of a $\Gamma$- invariant sub-algebra of $C(X)$

Definition of inner automorphism on operator algebras

Clarification Concerning The Irrational Rotation Algebra in Davidson's Book

to find the spectral measure $E : M_{\phi} \to B(H)$.

Show that a closed self-adjoint subalgebra of a $C^$-algebra is also a $C^$-algebra.

Showing that an injective $^$-homomorphism between two $C^$-algebras is isometric.

Symmetric C* property

Is it true that $|x^2|=|x|^2$ for a normal $x$ in a $C^*$-algebra?

C$^*$-algebras: When is there equality in the triangle inequality?

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