Markovianity and the Thompson monoid \(F^+\)
From MaRDI portal
Publication:2680199
DOI10.1016/j.jfa.2022.109818OpenAlexW3089417070MaRDI QIDQ2680199
Stephen J. Wills, Claus Köstler, Arundhathi Krishnan
Publication date: 30 January 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.14811
distributional invariance principlesnoncommutative de Finetti theoremsnoncommutative stationary Markov processesrepresentations of Thompson monoid \(F^+\)
Noncommutative probability and statistics (46L53) Markov processes (60Jxx) Stochastic processes (60Gxx)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On bi-free de Finetti theorems
- Countable partially exchangeable mixtures
- De Finetti theorem on the CAR algebra
- Some unitary representations of Thompson's groups \(F\) and \(T\)
- Factorization and dilation problems for completely positive maps on von Neumann algebras
- De Finetti theorems for easy quantum groups
- A Markov dilation of a non-quasifree Bloch evolution
- A noncommutative extended de Finetti theorem
- Relative dimension, towers of projections and commuting squares of subfactors
- Noncommutative independence from the braid group \({\mathbb{B}_{\infty}}\)
- A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
- Markov dilations on \(W^ *\)-algebras
- De Finetti's theorem for Markov chains
- Dilation of a non-quasifree dissipative evolution
- Noncommutative stationary processes
- Semi-cosimplicial objects and spreadability
- Theory of operator algebras. II
- Markovianity and the Thompson group \(F\)
- On spectral measures for certain unitary representations of R. Thompson's group F
- De Finetti theorems for braided parafermions
- General de Finetti type theorems in noncommutative probability
- Garside combinatorics for Thompson's monoid \(F^+\) and a hybrid with the braid monoid \(B_{\infty }^{+}\)
- Pythagorean representations of Thompson's groups
- On the Haagerup and Kazhdan properties of R. Thompson's groups
- Exchangeable stochastic processes and symmetric states in quantum probability
- A no-go theorem for the continuum limit of a periodic quantum spin chain
- On ergodic theorems for free group actions on noncommutative spaces
- A noncommutative de Finetti theorem for Boolean independence
- Symmetric states of infinite tensor products of \(C^ *\)-algebras
- Conditional expectations in von Neumann algebras
- Markov Chains and Dynamical Systems: The Open System Point of View
- Quantum symmetric states on free product $C^*$-algebras
- Noncommutative independence in the infinite braid and symmetric group
- KMS quantum symmetric states
- A characterization of freeness by invariance under quantum spreading
- Growth of Positive Words in Thompson's GroupF
- Tail algebras of quantum exchangeable random variables
- Symmetric Measures on Cartesian Products
- On stationary sequences of random variables and the de Finetti's equivalence
- A Markovian Function of a Markov Chain
- SINGLETON CONDITIONS AND QUANTUM DE FINETTI'S THEOREM
- Characterizations and embedding properties in exchangeability
- Foundations of Modern Probability
- Extended de Finetti theorems for boolean independence and monotone independence
- Quantum rotatability
- Quantum exchangeable sequences of algebras
- Exchangeable Processes which are Functions of Stationary Markov Chains
- The theory of filtrations of subalgebras, standardness, and independence
- Scale invariant transfer matrices and Hamiltionians
- The simplex of tracial quantum symmetric states
- Invariants Under Mixing which Generalize de Finetti's Theorem
- Probabilistic Symmetries and Invariance Principles
- Functions of Finite Markov Chains
- Sufficient Conditions for a Stationary Process to be a Function of a Finite Markov Chain
- Quantum stochastic processes
- Theory of operator algebras I.
