Ying-Fen Lin

Positive extensions of Schur multipliers

We introduce partially defined Schur multipliers and obtain necessary and sufficient conditions for the existence of extensions to fully defined positive Schur multipliers, in terms of operator systems canonically associated with their domains. We use these results to study the problem of extending a positive definite function defined on a symmetric subset of a locally compact group to a positive definite function defined on the whole group.

The solvable Lie group N6,28: An example of an almost C0(K)-C*-algebra

Motivated by the description of the C*-algebra of the affine automorphism group

The solvable Lie group N_{6, 28}: an example of an almost C_0(\mathcal{K})-C*-algebra

N_{6,28}

The solvable Lie group N6,28N6,28: An example of an almost C0(K)C0(K)-C*-algebra

of the Siegel upper half-plane of degree 2 as an algebra of operator fields defined over the unitary dual

Maps characterized by action on Lie zero products

\widehat{N_{6,28}}

A note on 2-local maps

of the group, we introduce a family of C*-algebras, which we call almost

Jordan isomorphism of purely infinite C*-algebras

C_0(\mathcal{K})

An isomorphism between group C*-algebras of ax + b-like groups

, and we show that the C*-algebra of the group

Completely bounded disjointness preserving operators between Fourier algebras

N_{6,28}

The structure of compact disjointness preserving operators on continuous functions

belongs to this class.