Index of $Γ$-equivariant Toeplitz operators
| dc.creator | Nest, Ryszard | |
| dc.creator | Radulescu, Florin | |
| dc.date | 1999-11-08 | |
| dc.date.accessioned | 2026-07-07T05:31:28Z | |
| dc.date.available | 2026-07-07T05:31:28Z | |
| dc.description | Let $Γ$ be a discrete icc subgroup of PSL(2,R) of infinite covolume. and let M denote the quotient of the unit disc by $Γ$. We prove that a Toeplitz operator with $Γ$-invariant symbol f in C(M) is Brauer Fredholm if its symbol is invertible on the boundary of M and its Brauer index is equal to the winding number of f at the boundary. We construct the associated extension of the algebra of functions continuous on the boundary of M by the Brauer ideal in the C*-algebra generated by such operators. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/9911042 | |
| dc.identifier | http://arxiv.org/abs/math/9911042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79357 | |
| dc.subject | Operator Algebras | |
| dc.title | Index of $Γ$-equivariant Toeplitz operators | |
| dc.type | text |