108 citations · 343 across the 27 of their papers we have counts for
32 papers
The Index Theorem for Toeplitz Operators as a Corollary of Bott Periodicity
Paul Frank Baum, Erik van Erp
This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem. We prove Boutet de Monvel's theorem as a corollary of Bott periodic…
Morita equivalence for -algebras
Anne-Marie Aubert, Paul Baum, Roger Plymen +1
We review Morita equivalence for finite type -algebras and also a weakening of Morita equivalence which we call stratified equivalence. The spectrum of is the set of equ…
K-homology and Fredholm operators I: Dirac Operators
Paul Baum, Erik van Erp
This is an expository paper which gives a proof of the Atiyah-Singer index theorem for Dirac operators, presenting the theorem as a computation of the K-homology of a point. This p…
K-homology and Fredholm Operators II: Elliptic Operators
Paul Baum, Erik van Erp
This is an expository paper which gives a proof of the Atiyah-Singer index theorem for elliptic operators. Specifcally, we compute the geometric K-cycle that corresponds to the ana…
Conjectures about p-adic groups and their noncommutative geometry
Anne-Marie Aubert, Paul Baum, Roger Plymen +1
Let G be any reductive p-adic group. We discuss several conjectures, some of them new, that involve the representation theory and the geometry of G. At the heart of these conjectur…
Noncommutative Borsuk-Ulam-type conjectures
Paul F. Baum, Ludwik Dabrowski, Piotr M. Hajac
Within the framework of free actions of compact quantum groups on unital C*-algebras, we propose two conjectures. The first one states that, if is the C*-algebra of a compact q…