Results 11 to 20 of about 2,084 (42)
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
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The K-homology of nets of C*-algebras
, 2014 Let X be a space, intended as a possibly curved spacetime, and A a precosheaf of C*-algebras on X. Motivated by algebraic quantum field theory, we study the Kasparov and Theta-summable K-homology of A interpreting them in terms of the holonomy ...
Ruzzi, Giuseppe, Vasselli, Ezio
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A few remarks on the tube algebra of a monoidal category
, 2018 We prove two results on the tube algebras of rigid C$^*$-tensor categories. The first is that the tube algebra of the representation category of a compact quantum group $G$ is a full corner of the Drinfeld double of $G$.
Neshveyev, Sergey, Yamashita, Makoto
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Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants [PDF]
, 2013 Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants.
Evans, David E., Pugh, Mathew
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Algebraic orbifold conformal field theories
, 1999 We formulate the unitary rational orbifold conformal field theories in the algebraic quantum field theory framework. Under general conditions, we show that the orbifold of a given unitary rational conformal field theories generates a unitary modular ...
Borcherds, F. Xu
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Equivariant comparison of quantum homogeneous spaces
, 2013 We prove the deformation invariance of the quantum homogeneous spaces of the q-deformation of simply connected simple compact Lie groups over the Poisson-Lie quantum subgroups, in the equivariant KK-theory with respect to the translation action by ...
A. Bauval +17 more
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Factoriality of Bozejko-Speicher von Neumann algebras
, 2003 We study the von Neumann algebra generated by q--deformed Gaussian elements l_i+l_i^* where operators l_i fulfill the q--deformed canonical commutation relations l_i l_j^*-q l_j^* l_i=delta_{ij} for ...
Sniady, Piotr
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Isometric Dilations of Representations of Product Systems via Commutants
, 2006 We construct a weak dilation of a not necessarily unital CP-semigroup to an E-semigroup acting on the adjointable operators of a Hilbert module with a unit vector.
Michael Skeide, Via Commutants
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Quantum Semigroups from Synchronous Games
, 2019 We show that the C*-algebras associated with synchronous games give rise to certain quantum families of maps between the input and output sets of the game. In particular situations (e.g. for graph endomorphism games) these quantum families have a natural
P. M. Sołtan +2 more
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, 2013 Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity, a metric defined by the author as a strengthening of Rieffel's quantum Gromov-Hausdorff designed to retain the C*-algebraic structure.
Latremoliere, Frederic
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