By Nathanial P. Brown and Narutaka Ozawa

$\textrm{C}^*$-approximation concept has supplied the root for lots of of an important conceptual breakthroughs and functions of operator algebras. This publication systematically stories (most of) the various forms of approximation homes which were vital in recent times: nuclearity, exactness, quasidiagonality, neighborhood reflexivity, and others. furthermore, it includes common proofs, insofar as that's attainable, of many primary effects that have been formerly really tough to extract from the literature. certainly, might be crucial novelty of the 1st ten chapters is an earnest try and clarify a few primary, yet tricky and technical, effects as painlessly as attainable. The latter 1/2 the publication offers comparable subject matters and applications--written with researchers and complex, well-trained scholars in brain. The authors have attempted to fulfill the desires either one of scholars wishing to profit the fundamentals of an immense quarter of analysis in addition to researchers who want a relatively accomplished reference for the speculation and purposes of $\textrm{C}^*$-approximation idea.

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On the cartesian product of two compact spaces. Fundam. Math. 40, 106–112 (1953) 83. : Metrizability and the Fréchet-Urysohn property in topological groups. Proc. Am. Math. Soc. 83, 793–801 (1981) 84. : Pointwise compactness in spaces of continuous functions. J. Lond. Math. Soc. 36, 143–152 (1987) 85. : Locally convex spaces over non-archimedean valued fields. Cambridge Studies in Advanced Mathematics, vol. 119. Cambridge University Press, Cambridge (2010) 86. : The Baire property of spaces of continuous functions.

Ser. A Math. : A characterization of K-analyticity of groups of continuous homomorphisms. Bol. Soc. Mat. , Sliwa, convex spaces. Indag. Math. : A note on spaces Cp (X) K-analytic-framed in RX . Bull. Aust. Math. Soc. : Lindelöf spaces C(X) over topological groups. Forum Math. : Quasi-Suslin weak duals. J. Math. Anal. Appl. 339(2), 1253–1263 (2008) (46A20) (46A03 46A08) 22 M. López-Pellicer and S. : A note on Fréchet-Urysohn locally convex spaces. RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser.

J. 37, 639–645 (1970) 90. : Espaces de Banach faiblement K-analytiques. Ann. Math. 110, 407–438 (1979) 91. : On the Pytkeev property in spaces of continuous functions (II). Houston J. Math. 35, 563–571 (2009) 92. : When is space Cp (X) σ -countably compact? Mosc. Univ. Math. Bull. 42, 23–27 (1987) 93. : A space Cp (X) is dominated by irrationals if and only if it is K-analytic. Acta Math. Hung. 107, 253–265 (2005) 94. : Topics in Locally Convex Spaces. North-Holland Mathematics Studies, vol. 67.