5
votes
P-adic C* algebras
Me, Alcides Buss, and Devarshi Mukherjee proposed an answer to this question in this paper.
$\textbf{The idea:}$ Note that via GNS, we can view a complex/real $C^*$-algebra essentially as a closed $*$-...
4
votes
Quantum braid group
The following answer comprises a collection of remarks.
(1) What, typically, allows a quantum version of a classical group is not relations between elements of the group $G$ (but see (2)), but rather ...
3
votes
Minimal norm problem whose unknown is an operator
Let me try to explain the series of comments by David Gao and transform it into a complete answer. It is worth keeping in mind the types of objects here:
The elements $x, y$ are considered to be ...
2
votes
A subfactor of finite index
Yes. This is a special case of the results in Section 2 of Frank and Kirchberg's article "On conditional expectations of finite index" [arXiv:math/9804074].
1
vote
Order bounded version of monotone complete $C^*$-algebras
Let $\tilde{A}$ denote the (unique up to isomorphism) unitization of a non-unital $C^*$-algebra $A$.
Proposition 2.1.11 in Saitô and Wright's monograph states the following:
Let $A$ be a $C^*$-...
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