The space of Penrose tilings and the noncommutative curve with homogeneous coordinate ring \(k\langle x,y \rangle/(y^2)\)

DOI10.4171/JNCG/164zbMath1328.14007MaRDI QIDQ744418

S. Paul. Smith

Publication date: 25 September 2014

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

zbMATH Keywords

Grothendieck groupBratteli diagramPenrose tilingsAF-algebraconnected algebraPenrose sequenceskyscraper sheaves

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Grothendieck groups, (K)-theory, etc. (16E20) Graded rings and modules (associative rings and algebras) (16W50) Noncommutative geometry (à la Connes) (58B34) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) (K_0) as an ordered group, traces (19K14)

Related Items (5)

Finitely presented simple modules over Leavitt path algebras. ⋮ Corrigendum to ``An equivalence of categories for graded modules over monomial algebras and path algebras of quivers. ⋮ An abstract characterization of noncommutative projective lines ⋮ Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver ⋮ Leavitt path algebras: the first decade

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