M. Rieffel

activity

19952022

most citedMetrics on State Spaces

227 citations · 708 across the 25 of their papers we have counts for

collaborators

Showing 2003Show all

3 papers · 1 filter

math.OA2003

Compact Quantum Metric Spaces

Marc A. Rieffel

We give a brief survey of many of the high-lights of our present understanding of the young subject of quantum metric spaces, and of quantum Gromov-Hausdorff distance between them.…

math.FA2003★ 7 cited

Projective multiresolution analyses for $L^{2} (R^{2})$

Judith A. Packer, Marc A. Rieffel

We define the notion of "projective" multiresolution analyses, for which, by definition, the initial space corresponds to a finitely generated projective module over the algebra $C…

math.OA2003★ 10 cited

Hyperbolic group $C^{}$ -algebras and free-product $C^{}$ -algebras as compact quantum metric spaces

Narutaka Ozawa, Marc A. Rieffel

Let $ℓ$ be a length function on a group G, and let $M_{ℓ}$ denote the operator of pointwise multiplication by $ℓ$ on $\bell^2(G)$. Following Connes, $M_{ℓ}$ can be used…

Compact Quantum Metric Spaces

Projective multiresolution analyses for L2(R2)

Hyperbolic group C∗-algebras and free-product C∗-algebras as compact quantum metric spaces

Projective multiresolution analyses for $L^{2} (R^{2})$

Hyperbolic group $C^{}$ -algebras and free-product $C^{}$ -algebras as compact quantum metric spaces