Results 31 to 40 of about 461,348 (110)

The Quantum Gromov-Hausdorff Propinquity [PDF]

, 2013
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
core   +2 more sources

$$C^*$$-Algebras Associated to Transfer Operators for Countable-to-One Maps

Integral equations and operator theory
Our initial data is a transfer operator L for a continuous, countable-to-one map $$\varphi :\Delta \rightarrow X$$ φ : Δ → X
K. Bardadyn, Bartosz Kwaśniewski, Andrei V. Lebedev   +2 more
semanticscholar   +1 more source

Completely positive maps of order zero [PDF]

, 2009
We say a completely positive contractive map between two C*-algebras has order zero, if it sends orthogonal elements to orthogonal elements. We prove a structure theorem for such maps.
Winter, Wilhelm, Zacharias, Joachim
core   +1 more source

Operator Algebras in Rigid C*-Tensor Categories [PDF]

, 2016
In this article, we define operator algebras internal to a rigid C*-tensor category $${\mathcal{C}}$$C. A C*/W*-algebra object in $${\mathcal{C}}$$C is an algebra object A in ind-$${\mathcal{C}}$$C whose category of free modules $${\mathsf{FreeMod}_ ...
Corey Jones, David Penneys
semanticscholar   +1 more source

Operator algebras, free groups and other groups

Astérisque, 2018
The operator algebras associated to non commutative free groups have received a lot of attention, by F.J. Murray and J. von Neumann and by later workers.
P. Harpe
semanticscholar   +1 more source

Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras [PDF]

, 2017
We prove a dimension formula for orbifold vertex operator algebras of central charge 24 by automorphisms of order $n$ such that $\Gamma_0(n)$ is a genus zero group.
Jethro van Ekeren, S. Møller, Nils R. Scheithauer   +2 more
semanticscholar   +1 more source

From Vertex Operator Algebras to Conformal Nets and Back [PDF]

Memoirs of the American Mathematical Society, 2015
We consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local.
S. Carpi, Yasuyuki Kawahigashi, R. Longo, M. Weiner   +3 more
semanticscholar   +1 more source

Effect algebras with state operator [PDF]

arXiv, 2013
State operators on convex effect algebras, in particular effect algebras of unital JC-algebras, JW-algebras and convex sigma-MV algebras are studied and their relations with conditional expectations in algebraic sense as well as in the sense of probability on MV-algebras are shown.
arxiv  

2-local derivations on semi-finite von Neumann algebras [PDF]

, 2012
In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.
arxiv   +1 more source

Compact quantum stabilizer subgroups [PDF]

arXiv, 2016
We generalize the concept of stabilizer subgroups to compact quantum groups.
arxiv