Mann, M. H.; Raeburn, Iain; Sutherland, C. E. Representations of finite groups and Cuntz-Krieger algebras. (English) Zbl 0763.22002 Bull. Aust. Math. Soc. 46, No. 2, 225-243 (1992). Let \(\rho\) be a finite-dimensional representation of a compact group \(G\). The authors shows that each Doplicher-Roberts algebra \({\mathcal O}_ \rho\) [S. Doplicher and J. E. Roberts, J. Funct. Anal. 74, 96-120 (1987; Zbl 0619.46053)] is isomorphic to a corner in the Cuntz-Krieger algebra \({\mathcal O}_ A\) of a \(\{0,1\}\)-matrix \(A=A_ \rho\) associated to \(\rho\). Reviewer: A.G.Baskakov (Voronezh) Cited in 2 ReviewsCited in 21 Documents MSC: 22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations 46L80 \(K\)-theory and operator algebras (including cyclic theory) 46L05 General theory of \(C^*\)-algebras 22D35 Duality theorems for locally compact groups Keywords:intertwining operators; \(K\)-theory; finite-dimensional representation; compact group; Doplicher-Roberts algebra; Cuntz-Krieger algebra Citations:Zbl 0619.46053 PDFBibTeX XMLCite \textit{M. H. Mann} et al., Bull. Aust. Math. Soc. 46, No. 2, 225--243 (1992; Zbl 0763.22002) Full Text: DOI References: [1] Isaacs, Character theory of finite groups (1976) · Zbl 0337.20005 [2] DOI: 10.2307/1971477 · Zbl 0702.46044 · doi:10.2307/1971477 [3] DOI: 10.1007/BF01389192 · Zbl 0461.46047 · doi:10.1007/BF01389192 [4] DOI: 10.1007/BF01390048 · Zbl 0434.46045 · doi:10.1007/BF01390048 [5] DOI: 10.1016/0022-1236(87)90040-1 · Zbl 0619.46053 · doi:10.1016/0022-1236(87)90040-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.