97 citations · 519 across the 71 of their papers we have counts for
8 papers · 2 filters
On quantum stochastic differential equations
J. Martin Lindsay, Adam G. Skalski
Existence and uniqueness theorems for quantum stochastic differential equations with nontrivial initial conditions are proved for coefficients with completely bounded columns. Appl…
On Square Roots of the Haar State on Compact Quantum Groups
Uwe Franz, Adam Skalski, Reiji Tomatsu
The paper is concerned with the extension of the classical study of probability measures on a compact group which are square roots of the Haar measure, due to Diaconis and Shahshah…
Quantum isometry groups of duals of free powers of cyclic groups
Teodor Banica, Adam Skalski
We study the quantum isometry groups of the noncommutative Riemannian manifolds associated to discrete group duals. The basic representation theory problem is to compute the law of…
Two-parameter families of quantum symmetry groups
Teodor Banica, Adam Skalski
We introduce and study natural two-parameter families of quantum groups motivated on one hand by the liberations of classical orthogonal groups and on the other by quantum isometry…
On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
Debashish Goswami, Adam Skalski
Two different models for a Hopf-von Neumann algebra of bounded functions on the quantum semigroup of all (quantum) permutations of infinitely many elements are proposed, one based…
Noncommutative topological entropy of endomorphisms of Cuntz algebras II
Adam Skalski
A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with Joachim Zacharias is continued and extended to endom…
Quantum isometry groups of noncommutative manifolds associated to group C*-algebras
Jyotishman Bhowmick, Adam Skalski
Let G be a finitely generated discrete group. The standard spectral triple on the group C*-algebra C*(G) is shown to admit the quantum group of orientation preserving isometries. T…
On Invariant MASAs for Endomorphisms of the Cuntz Algebras
Jeong Hee Hong, Adam Skalski, Wojciech Szymanski
The problem of existence of standard (i.e. product-type) invariant MASAs for endomorphisms of the Cuntz algebra O_n is studied. In particular endomorphisms which preserve the canon…