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2. Intertwining operator for AG2 Calogero–Moser–Sutherland system.

Author

Feigin, Misha and Vrabec, Martin

Subjects
*HAMILTONIAN systems
Abstract

We consider the generalized Calogero–Moser–Sutherland quantum Hamiltonian H associated with a configuration of vectors AG2 on the plane which is a union of A2 and G2 root systems. The Hamiltonian H depends on one parameter. We find an intertwining operator between H and the Calogero–Moser–Sutherland Hamiltonian for the root system G2. This gives a quantum integral for H of order 6 in an explicit form, thus establishing integrability of H. [ABSTRACT FROM AUTHOR]

Published
2019
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3. The Cuntz–Toeplitz algebras have nuclear dimension one.

Author

Easo, Philip, Garijo, Esperanza, Kaubrys, Sarunas, Nkansah, David, Vrabec, Martin, Watt, David, Wilson, Cameron, Bönicke, Christian, Evington, Samuel, Forough, Marzieh, Girón Pacheco, Sergio, Seaton, Nicholas, White, Stuart, Whittaker, Michael F., and Zacharias, Joachim

Subjects
*ALGEBRA
Abstract

We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows. [ABSTRACT FROM AUTHOR]

Published
2020
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