In one aspect, space in a tile-unaware cache associated with an address aperture may be managed in different ways depending on whether a processing component initiating an access request through the aperture to a tile-based memory is tile-unaware or tile-aware. Upon a full-tile read by a tile-aware process, data may be evicted from the cache, or space may not be allocated. Upon a full-tile write by a tile-aware process, data may be evicted from the cache. In another aspect, a tile-unaware process may be supplemented with tile-aware features by generating a full tile of addresses in response to a partial-tile access. Upon a partial-tile read by the tile-unaware process, the generated addresses may be used to pre-fetch data. Upon a partial-tile write, the addresses may be used to evict data. Upon a bit block transfer, the addresses may be used in dividing the bit block transfer into units of tiles.