Tyrone Crisp

collaborators

3 papers

math.RT2026

Reduced C*-algebras and K-theory for reductive $p$ -adic groups

Pierre Clare, Tyrone Crisp

We calculate the $K$ -theory of the reduced $C^{*}$ -algebra $C_{r}^{*} (G)$ of a reductive $p$ -adic group $G$ . To do so, we show that each direct summand in Plymen's Plancherel decompositi…

math.OA2026

Notes on C-algebras, representations, and Morita equivalence (with a view toward C-algebras of reductive groups)

Tyrone Crisp

These notes give an expanded account of my lectures at the CIRM-IHP research school on 'Methods in representation theory and operator algebras', January 6-10, 2025. Their main goal…

math.OA2025

Trace-class operators on Hilbert modules and Haagerup tensor products

Tyrone Crisp, Michael Rosbotham

We show that the space of trace-class operators on a Hilbert module over a commutative C*-algebra, as defined and studied in earlier work of Stern and van Suijlekom (Journal of Fun…

Reduced C*-algebras and K-theory for reductive p-adic groups

Notes on C*-algebras, representations, and Morita equivalence (with a view toward C*-algebras of reductive groups)

Trace-class operators on Hilbert modules and Haagerup tensor products

Reduced C*-algebras and K-theory for reductive $p$ -adic groups

Notes on C-algebras, representations, and Morita equivalence (with a view toward C-algebras of reductive groups)